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Finding the Fourth Proportional to 195.30, 269.31 and 129.72

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Solution

The fourth proportional to 195.30, 269.31 and 129.72 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 269.31 = 129.72 : x
  2. Step 2: Convert to fraction form
    195.30/269.31 = 129.72/x
  3. Step 3: Cross multiply
    195.30x = 269.31 × 129.72
  4. Step 4: Simplify right side
    195.30x = 34,934.89
  5. Step 5: Solve for x
    x = 34,934.89/195.30
  6. Step 6: Final answer
    x = 178.88

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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.