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Finding the Fourth Proportional to 91.24, 135.98 and 89.62

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Solution

The fourth proportional to 91.24, 135.98 and 89.62 is: 133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.24 : 135.98 = 89.62 : x
  2. Step 2: Convert to fraction form
    91.24/135.98 = 89.62/x
  3. Step 3: Cross multiply
    91.24x = 135.98 × 89.62
  4. Step 4: Simplify right side
    91.24x = 12,186.53
  5. Step 5: Solve for x
    x = 12,186.53/91.24
  6. Step 6: Final answer
    x = 133.57

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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.