I have answered this question here: How to resize images proportionally / keeping the aspect ratio?. I am copying it here because I really think it is a very reliable method :)
/**
* Conserve aspect ratio of the original region. Useful when shrinking/enlarging
* images to fit into a certain area.
*
* @param {Number} srcWidth width of source image
* @param {Number} srcHeight height of source image
* @param {Number} maxWidth maximum available width
* @param {Number} maxHeight maximum available height
* @return {Object} { width, height }
*/
function calculateAspectRatioFit(srcWidth, srcHeight, maxWidth, maxHeight) {
var ratio = Math.min(maxWidth / srcWidth, maxHeight / srcHeight);
return { width: srcWidth*ratio, height: srcHeight*ratio };
}