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Finding the Fourth Proportional to 402.54, 600.32 and 354.02

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Solution

The fourth proportional to 402.54, 600.32 and 354.02 is: 527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 600.32 = 354.02 : x
  2. Step 2: Convert to fraction form
    402.54/600.32 = 354.02/x
  3. Step 3: Cross multiply
    402.54x = 600.32 × 354.02
  4. Step 4: Simplify right side
    402.54x = 212,527.04
  5. Step 5: Solve for x
    x = 212,527.04/402.54
  6. Step 6: Final answer
    x = 527.96

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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.