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Finding the Fourth Proportional to 402.37, 551.86 and 397.61

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Solution

The fourth proportional to 402.37, 551.86 and 397.61 is: 545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.37 : 551.86 = 397.61 : x
  2. Step 2: Convert to fraction form
    402.37/551.86 = 397.61/x
  3. Step 3: Cross multiply
    402.37x = 551.86 × 397.61
  4. Step 4: Simplify right side
    402.37x = 219,425.61
  5. Step 5: Solve for x
    x = 219,425.61/402.37
  6. Step 6: Final answer
    x = 545.34

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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.