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Finding the Fourth Proportional to 337.42, 506.22 and 142.31

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Solution

The fourth proportional to 337.42, 506.22 and 142.31 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.42 : 506.22 = 142.31 : x
  2. Step 2: Convert to fraction form
    337.42/506.22 = 142.31/x
  3. Step 3: Cross multiply
    337.42x = 506.22 × 142.31
  4. Step 4: Simplify right side
    337.42x = 72,040.17
  5. Step 5: Solve for x
    x = 72,040.17/337.42
  6. Step 6: Final answer
    x = 213.50

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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.