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Finding the Fourth Proportional to 130.97, 180.87 and 103.34

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Solution

The fourth proportional to 130.97, 180.87 and 103.34 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 180.87 = 103.34 : x
  2. Step 2: Convert to fraction form
    130.97/180.87 = 103.34/x
  3. Step 3: Cross multiply
    130.97x = 180.87 × 103.34
  4. Step 4: Simplify right side
    130.97x = 18,691.11
  5. Step 5: Solve for x
    x = 18,691.11/130.97
  6. Step 6: Final answer
    x = 142.71

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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.