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Finding the Fourth Proportional to 91.97, 136.83 and 91.65

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Solution

The fourth proportional to 91.97, 136.83 and 91.65 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.97 : 136.83 = 91.65 : x
  2. Step 2: Convert to fraction form
    91.97/136.83 = 91.65/x
  3. Step 3: Cross multiply
    91.97x = 136.83 × 91.65
  4. Step 4: Simplify right side
    91.97x = 12,540.47
  5. Step 5: Solve for x
    x = 12,540.47/91.97
  6. Step 6: Final answer
    x = 136.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.