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Finding the Fourth Proportional to 137.92, 206.82 and 60.92

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Solution

The fourth proportional to 137.92, 206.82 and 60.92 is: 91.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 206.82 = 60.92 : x
  2. Step 2: Convert to fraction form
    137.92/206.82 = 60.92/x
  3. Step 3: Cross multiply
    137.92x = 206.82 × 60.92
  4. Step 4: Simplify right side
    137.92x = 12,599.47
  5. Step 5: Solve for x
    x = 12,599.47/137.92
  6. Step 6: Final answer
    x = 91.35

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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.