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Finding the Fourth Proportional to 91.29, 126.02 and 86.83

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Solution

The fourth proportional to 91.29, 126.02 and 86.83 is: 119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.29 : 126.02 = 86.83 : x
  2. Step 2: Convert to fraction form
    91.29/126.02 = 86.83/x
  3. Step 3: Cross multiply
    91.29x = 126.02 × 86.83
  4. Step 4: Simplify right side
    91.29x = 10,942.32
  5. Step 5: Solve for x
    x = 10,942.32/91.29
  6. Step 6: Final answer
    x = 119.86

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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.