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Finding the Fourth Proportional to 137.68, 188.87 and 129.40

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Solution

The fourth proportional to 137.68, 188.87 and 129.40 is: 177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 188.87 = 129.40 : x
  2. Step 2: Convert to fraction form
    137.68/188.87 = 129.40/x
  3. Step 3: Cross multiply
    137.68x = 188.87 × 129.40
  4. Step 4: Simplify right side
    137.68x = 24,439.78
  5. Step 5: Solve for x
    x = 24,439.78/137.68
  6. Step 6: Final answer
    x = 177.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.