Is it possible to dynamically set a divs width, then set its height to a certain percentage of that width. Something like this:
#myDiv{
    width:%100;
    height: {35% of width};
}
I want to retain the ratio of the width to height of a div regardless of what the width may be.
You can do this with CSS by setting the height to zero and then adding a percentage to padding-bottom. You might have to tweak it a little to get the desired outcome but here's a fiddle with an example http://jsfiddle.net/wbq8o3s7/
#myDiv {
  width: 100%;
  height: 0;
  padding-bottom: 35%;
  background-color: #333;
}
<div id="myDiv"></div>
HTML:
<div class='box'> 
    <div class='content'>All your content are belong to us</div> 
</div>
We use two block elements to achieve the desired behaviour, box for width, content for height.
CSS:
.box{
    position: relative;
    width: 50%;     /* desired width */
}
.box:before{
    content: "";
    display: block;
    padding-top: 100%;  /*What you want the height to be in relation to the width*/
}
The Content:
Then set the content to cover the entire box absolutely so no matter the size, it fits!
.content{
    position:  absolute;
    top: 0;
    left: 0;
    bottom: 0;
    right: 0;
}
Tada you are done...
SOURCE: Pure CSS
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