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Finding the Fourth Proportional to 137.49, 206.22 and 93.91

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Solution

The fourth proportional to 137.49, 206.22 and 93.91 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.49 : 206.22 = 93.91 : x
  2. Step 2: Convert to fraction form
    137.49/206.22 = 93.91/x
  3. Step 3: Cross multiply
    137.49x = 206.22 × 93.91
  4. Step 4: Simplify right side
    137.49x = 19,366.12
  5. Step 5: Solve for x
    x = 19,366.12/137.49
  6. Step 6: Final answer
    x = 140.85

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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.