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Finding the Fourth Proportional to 752.21, 1,128.32 and 232.21

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Solution

The fourth proportional to 752.21, 1,128.32 and 232.21 is: 348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.21 : 1,128.32 = 232.21 : x
  2. Step 2: Convert to fraction form
    752.21/1,128.32 = 232.21/x
  3. Step 3: Cross multiply
    752.21x = 1,128.32 × 232.21
  4. Step 4: Simplify right side
    752.21x = 262,007.19
  5. Step 5: Solve for x
    x = 262,007.19/752.21
  6. Step 6: Final answer
    x = 348.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.