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Finding the Fourth Proportional to 135.39, 185.37 and 130.71

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Solution

The fourth proportional to 135.39, 185.37 and 130.71 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.39 : 185.37 = 130.71 : x
  2. Step 2: Convert to fraction form
    135.39/185.37 = 130.71/x
  3. Step 3: Cross multiply
    135.39x = 185.37 × 130.71
  4. Step 4: Simplify right side
    135.39x = 24,229.71
  5. Step 5: Solve for x
    x = 24,229.71/135.39
  6. Step 6: Final answer
    x = 178.96

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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.