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Finding the Fourth Proportional to 140.82, 191.85 and 137.85

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Solution

The fourth proportional to 140.82, 191.85 and 137.85 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.82 : 191.85 = 137.85 : x
  2. Step 2: Convert to fraction form
    140.82/191.85 = 137.85/x
  3. Step 3: Cross multiply
    140.82x = 191.85 × 137.85
  4. Step 4: Simplify right side
    140.82x = 26,446.52
  5. Step 5: Solve for x
    x = 26,446.52/140.82
  6. Step 6: Final answer
    x = 187.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.