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Swift 2.3, Xcode 8.2で確認。

extension UIImageView {
    // 自身のアス比をimageのアス比と一致させる
    func addConstraintFromImageAspect() {
        guard let imageSize = self.image?.size else { return }
        let aspectRatioConstraint = NSLayoutConstraint(
            item: self,
            attribute: .Height,
            relatedBy: .Equal,
            toItem: self,
            attribute: .Width,
            multiplier: imageSize.height / imageSize.width,
            constant: 0

以上Qiita初投稿 ;)

Swift, Ruby on Rails とかやってます。
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