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Finding the Fourth Proportional to 135.38, 187.16 and 129.65

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Solution

The fourth proportional to 135.38, 187.16 and 129.65 is: 179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 187.16 = 129.65 : x
  2. Step 2: Convert to fraction form
    135.38/187.16 = 129.65/x
  3. Step 3: Cross multiply
    135.38x = 187.16 × 129.65
  4. Step 4: Simplify right side
    135.38x = 24,263.71
  5. Step 5: Solve for x
    x = 24,263.71/135.38
  6. Step 6: Final answer
    x = 179.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.