How to set the size of a column in a Bootstrap responsive table

you can use the following Bootstrap class with

<tr class="w-25">

</tr>

for more details check the following page https://getbootstrap.com/docs/4.1/utilities/sizing/

Bootstrap 4.0

Be aware of all migration changes from Bootstrap 3 to 4. On the table you now need to enable flex box by adding the class d-flex, and drop the xs to allow bootstrap to automatically detect the viewport.

<div class="container-fluid">
    <table id="productSizes" class="table">
        <thead>
            <tr class="d-flex">
                <th class="col-1">Size</th>
                <th class="col-3">Bust</th>
                <th class="col-3">Waist</th>
                <th class="col-5">Hips</th>
            </tr>
        </thead>
        <tbody>
            <tr class="d-flex">
                <td class="col-1">6</td>
                <td class="col-3">79 - 81</td>
                <td class="col-3">61 - 63</td>
                <td class="col-5">89 - 91</td>
            </tr>
            <tr class="d-flex">
                <td class="col-1">8</td>
                <td class="col-3">84 - 86</td>
                <td class="col-3">66 - 68</td>
                <td class="col-5">94 - 96</td>
            </tr>
        </tbody>
    </table>

bootply

Bootstrap 3.2

Table column width use the same layout as grids do; using col-[viewport]-[size]. Remember the column sizes should total 12; 1 + 3 + 3 + 5 = 12 in this example.

        <thead>
            <tr>
                <th class="col-xs-1">Size</th>
                <th class="col-xs-3">Bust</th>
                <th class="col-xs-3">Waist</th>
                <th class="col-xs-5">Hips</th>
            </tr>
        </thead>

Remember to set the <th> elements rather than the <td> elements so it sets the whole column. Here is a working BOOTPLY.

Thanks to @Dan for reminding me to always work mobile view (col-xs-*) first.

You could use inline styles and define the width in the <th> tag. Make it so that the sum of the widths = 100%.

<tr>
   <th style="width:10%">Size</th>
   <th style="width:30%">Bust</th>
   <th style="width:50%">Waist</th>
   <th style="width:10%">Hips</th>
</tr>

Bootply demo

Typically using inline styles is not ideal, however this does provide flexibility because you can get very specific and granular with exact widths.