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Finding the Fourth Proportional to 337.81, 507.20 and 257.17

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Solution

The fourth proportional to 337.81, 507.20 and 257.17 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.81 : 507.20 = 257.17 : x
  2. Step 2: Convert to fraction form
    337.81/507.20 = 257.17/x
  3. Step 3: Cross multiply
    337.81x = 507.20 × 257.17
  4. Step 4: Simplify right side
    337.81x = 130,436.62
  5. Step 5: Solve for x
    x = 130,436.62/337.81
  6. Step 6: Final answer
    x = 386.12

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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.