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Finding the Fourth Proportional to 137.92, 191.68 and 136.48

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Solution

The fourth proportional to 137.92, 191.68 and 136.48 is: 189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 191.68 = 136.48 : x
  2. Step 2: Convert to fraction form
    137.92/191.68 = 136.48/x
  3. Step 3: Cross multiply
    137.92x = 191.68 × 136.48
  4. Step 4: Simplify right side
    137.92x = 26,160.49
  5. Step 5: Solve for x
    x = 26,160.49/137.92
  6. Step 6: Final answer
    x = 189.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.