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Finding the Fourth Proportional to 130.28, 178.81 and 115.72

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Solution

The fourth proportional to 130.28, 178.81 and 115.72 is: 158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 178.81 = 115.72 : x
  2. Step 2: Convert to fraction form
    130.28/178.81 = 115.72/x
  3. Step 3: Cross multiply
    130.28x = 178.81 × 115.72
  4. Step 4: Simplify right side
    130.28x = 20,691.89
  5. Step 5: Solve for x
    x = 20,691.89/130.28
  6. Step 6: Final answer
    x = 158.83

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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.