The gear icon next to the pop-up menu showing 'RGB' in your screenshots both shows you the color profile for the values shown by the sliders and text fields and lets you change the profile (thus converting the values). This will be different from a calibrated color profile like sRGB or generic. When you use the eyedropper in the color picker to sample a color from the screen, you get the values in the device color profile. You would need to know in which color profile that was expressed. 'RGB 217,114,62' does not adequately specify a color. You (and possibly your designer) need to familiarize yourself with color profiles.
