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Finding the Fourth Proportional to 130.44, 178.68 and 129

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Solution

The fourth proportional to 130.44, 178.68 and 129 is: 176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 178.68 = 129 : x
  2. Step 2: Convert to fraction form
    130.44/178.68 = 129/x
  3. Step 3: Cross multiply
    130.44x = 178.68 × 129
  4. Step 4: Simplify right side
    130.44x = 23,049.72
  5. Step 5: Solve for x
    x = 23,049.72/130.44
  6. Step 6: Final answer
    x = 176.71

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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.