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Finding the Fourth Proportional to 397.10, 547.66 and 257.17

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Solution

The fourth proportional to 397.10, 547.66 and 257.17 is: 354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.10 : 547.66 = 257.17 : x
  2. Step 2: Convert to fraction form
    397.10/547.66 = 257.17/x
  3. Step 3: Cross multiply
    397.10x = 547.66 × 257.17
  4. Step 4: Simplify right side
    397.10x = 140,841.72
  5. Step 5: Solve for x
    x = 140,841.72/397.10
  6. Step 6: Final answer
    x = 354.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.