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Finding the Fourth Proportional to 402.60, 552.03 and 392.88

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Solution

The fourth proportional to 402.60, 552.03 and 392.88 is: 538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.60 : 552.03 = 392.88 : x
  2. Step 2: Convert to fraction form
    402.60/552.03 = 392.88/x
  3. Step 3: Cross multiply
    402.60x = 552.03 × 392.88
  4. Step 4: Simplify right side
    402.60x = 216,881.55
  5. Step 5: Solve for x
    x = 216,881.55/402.60
  6. Step 6: Final answer
    x = 538.70

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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.