Converting RGB to SRGB in PSCS4

Hi everyone,
I wonder if anyone can help me with this? Here are the steps I use when Converting for the web.
I open the image
I do my adjustments
Resize for web sharpening
Resize it to 1200 for a 720 file or 2100 for a 1200 file
sharpen the image
resize it to 720 or 1200
Then I convert the image from RGB to SRGB in Edit Menu and save it for web & devices in File menu. then I close the file. 2 things I've notice afterward, 1-when I open the bridge and click on the image I just saved, on the right side column in file properties the color profile tells me its untagged, shouldn't that be SRGB since I converted it.
2- When I reopen the image in PSSC4 the missing profile window comes up telling the image does not have an embedded profile ,even though I already converted it to SRGB earlier, So now I have to choose a profile again. I had the same problem in PS7. Is there someting I forgot to do or forgot in the settings? Thank you for your time

There's an option to include the profile tag with the image when saving it - make sure that box is checked. Otherwise it will be in sRGB, but untagged, so color managed applications (including some browsers) won't be entirely sure what to do with it.

Thanks Floris, That did it.