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Finding the Fourth Proportional to 130.38, 180.02 and 93.62

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Solution

The fourth proportional to 130.38, 180.02 and 93.62 is: 129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 180.02 = 93.62 : x
  2. Step 2: Convert to fraction form
    130.38/180.02 = 93.62/x
  3. Step 3: Cross multiply
    130.38x = 180.02 × 93.62
  4. Step 4: Simplify right side
    130.38x = 16,854.16
  5. Step 5: Solve for x
    x = 16,854.16/130.38
  6. Step 6: Final answer
    x = 129.27

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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.