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Finding the Fourth Proportional to 337.25, 506.14 and 131.87

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Solution

The fourth proportional to 337.25, 506.14 and 131.87 is: 197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 506.14 = 131.87 : x
  2. Step 2: Convert to fraction form
    337.25/506.14 = 131.87/x
  3. Step 3: Cross multiply
    337.25x = 506.14 × 131.87
  4. Step 4: Simplify right side
    337.25x = 66,745.62
  5. Step 5: Solve for x
    x = 66,745.62/337.25
  6. Step 6: Final answer
    x = 197.91

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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.