Protein synthesis takes place in ribosomes. Ribosomes are non-membrane bound cell organelles, made up of protein and $r RNA.$
Mitochondrium is a double membrane bound cell organelle. It is known as power house of cell because ATP is synthesized in mitochondrium.
Chloroplast is a double membrane bound cell organelle. Photosynthesis in green plant takes place in chloroplast.
Golgi body is complex organelle made up of membrane linked stack of cisternae, tubules and vesicles. It helps in glycosidation of proteins and lipids.