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Finding the Fourth Proportional to 257.35, 354.17 and 204.72

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Solution

The fourth proportional to 257.35, 354.17 and 204.72 is: 281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.35 : 354.17 = 204.72 : x
  2. Step 2: Convert to fraction form
    257.35/354.17 = 204.72/x
  3. Step 3: Cross multiply
    257.35x = 354.17 × 204.72
  4. Step 4: Simplify right side
    257.35x = 72,505.68
  5. Step 5: Solve for x
    x = 72,505.68/257.35
  6. Step 6: Final answer
    x = 281.74

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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.