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Finding the Fourth Proportional to 137.90, 206.87 and 60.85

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Solution

The fourth proportional to 137.90, 206.87 and 60.85 is: 91.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 206.87 = 60.85 : x
  2. Step 2: Convert to fraction form
    137.90/206.87 = 60.85/x
  3. Step 3: Cross multiply
    137.90x = 206.87 × 60.85
  4. Step 4: Simplify right side
    137.90x = 12,586.70
  5. Step 5: Solve for x
    x = 12,586.70/137.90
  6. Step 6: Final answer
    x = 91.28

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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.