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Finding the Fourth Proportional to 195.45, 269.52 and 129.96

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Solution

The fourth proportional to 195.45, 269.52 and 129.96 is: 179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 269.52 = 129.96 : x
  2. Step 2: Convert to fraction form
    195.45/269.52 = 129.96/x
  3. Step 3: Cross multiply
    195.45x = 269.52 × 129.96
  4. Step 4: Simplify right side
    195.45x = 35,026.82
  5. Step 5: Solve for x
    x = 35,026.82/195.45
  6. Step 6: Final answer
    x = 179.21

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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.