Finding the Fourth Proportional to 255.33, 383.00 and 111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   255.33 : 383.00 = 111.06 : x
2. Step 2: Convert to fraction form
   255.33/383.00 = 111.06/x
3. Step 3: Cross multiply
   255.33x = 383.00 × 111.06
4. Step 4: Simplify right side
   255.33x = 42,535.42
5. Step 5: Solve for x
   x = 42,535.42/255.33
6. Step 6: Final answer
   x = 166.59