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Finding the Fourth Proportional to 224.92, 337.53 and 138.22

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Solution

The fourth proportional to 224.92, 337.53 and 138.22 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 337.53 = 138.22 : x
  2. Step 2: Convert to fraction form
    224.92/337.53 = 138.22/x
  3. Step 3: Cross multiply
    224.92x = 337.53 × 138.22
  4. Step 4: Simplify right side
    224.92x = 46,653.40
  5. Step 5: Solve for x
    x = 46,653.40/224.92
  6. Step 6: Final answer
    x = 207.42

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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.