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Finding the Fourth Proportional to 195.15, 269.10 and 136.92

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Solution

The fourth proportional to 195.15, 269.10 and 136.92 is: 188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.15 : 269.10 = 136.92 : x
  2. Step 2: Convert to fraction form
    195.15/269.10 = 136.92/x
  3. Step 3: Cross multiply
    195.15x = 269.10 × 136.92
  4. Step 4: Simplify right side
    195.15x = 36,845.17
  5. Step 5: Solve for x
    x = 36,845.17/195.15
  6. Step 6: Final answer
    x = 188.80

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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.