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Finding the Fourth Proportional to 402.17, 600.21 and 363.29

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Solution

The fourth proportional to 402.17, 600.21 and 363.29 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.17 : 600.21 = 363.29 : x
  2. Step 2: Convert to fraction form
    402.17/600.21 = 363.29/x
  3. Step 3: Cross multiply
    402.17x = 600.21 × 363.29
  4. Step 4: Simplify right side
    402.17x = 218,047.29
  5. Step 5: Solve for x
    x = 218,047.29/402.17
  6. Step 6: Final answer
    x = 542.18

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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.