Transport of newly synthesized proteins to cellular organelles
Mature RNA is translated into proteins by the ribosomes.  Ribosomes bound to the ER (endoplasmic reticulum) translate proteins that are bound for export from the cell.  Free ribosomes, which are found in the cytosol, are used for structures within the the cell (http://www.brighthub.com/science/medical/articles/110037.aspx)

Proteins made on the ER are sent to the Golgi apparatus, and are packaged there for transport out of the cell. (http://www.ncbi.nlm.nih.gov/books/NBK9838/)    

As far as I know, the proteins made by free ribosomes remain in the cytosol and are incorperated into certain organelles or pathways upon contact with specific other proteins or signalling molecules.