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Finding the Fourth Proportional to 402.62, 551.57 and 387.62

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Solution

The fourth proportional to 402.62, 551.57 and 387.62 is: 531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.62 : 551.57 = 387.62 : x
  2. Step 2: Convert to fraction form
    402.62/551.57 = 387.62/x
  3. Step 3: Cross multiply
    402.62x = 551.57 × 387.62
  4. Step 4: Simplify right side
    402.62x = 213,797.63
  5. Step 5: Solve for x
    x = 213,797.63/402.62
  6. Step 6: Final answer
    x = 531.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.