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Finding the Fourth Proportional to 337.38, 505.11 and 257.16

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Solution

The fourth proportional to 337.38, 505.11 and 257.16 is: 385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.38 : 505.11 = 257.16 : x
  2. Step 2: Convert to fraction form
    337.38/505.11 = 257.16/x
  3. Step 3: Cross multiply
    337.38x = 505.11 × 257.16
  4. Step 4: Simplify right side
    337.38x = 129,894.09
  5. Step 5: Solve for x
    x = 129,894.09/337.38
  6. Step 6: Final answer
    x = 385.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.