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Finding the Fourth Proportional to 402.52, 601.02 and 361.12

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Solution

The fourth proportional to 402.52, 601.02 and 361.12 is: 539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.52 : 601.02 = 361.12 : x
  2. Step 2: Convert to fraction form
    402.52/601.02 = 361.12/x
  3. Step 3: Cross multiply
    402.52x = 601.02 × 361.12
  4. Step 4: Simplify right side
    402.52x = 217,040.34
  5. Step 5: Solve for x
    x = 217,040.34/402.52
  6. Step 6: Final answer
    x = 539.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.