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Finding the Fourth Proportional to 397.28, 547.44 and 257.24

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Solution

The fourth proportional to 397.28, 547.44 and 257.24 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 547.44 = 257.24 : x
  2. Step 2: Convert to fraction form
    397.28/547.44 = 257.24/x
  3. Step 3: Cross multiply
    397.28x = 547.44 × 257.24
  4. Step 4: Simplify right side
    397.28x = 140,823.47
  5. Step 5: Solve for x
    x = 140,823.47/397.28
  6. Step 6: Final answer
    x = 354.47

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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.