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Finding the Fourth Proportional to 91.66, 136.79 and 89.64

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Solution

The fourth proportional to 91.66, 136.79 and 89.64 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.66 : 136.79 = 89.64 : x
  2. Step 2: Convert to fraction form
    91.66/136.79 = 89.64/x
  3. Step 3: Cross multiply
    91.66x = 136.79 × 89.64
  4. Step 4: Simplify right side
    91.66x = 12,261.86
  5. Step 5: Solve for x
    x = 12,261.86/91.66
  6. Step 6: Final answer
    x = 133.78

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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.