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Finding the Fourth Proportional to 402.43, 551.55 and 390.08

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Solution

The fourth proportional to 402.43, 551.55 and 390.08 is: 534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.43 : 551.55 = 390.08 : x
  2. Step 2: Convert to fraction form
    402.43/551.55 = 390.08/x
  3. Step 3: Cross multiply
    402.43x = 551.55 × 390.08
  4. Step 4: Simplify right side
    402.43x = 215,148.62
  5. Step 5: Solve for x
    x = 215,148.62/402.43
  6. Step 6: Final answer
    x = 534.62

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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.