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Finding the Fourth Proportional to 91.17, 135.80 and 89.35

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Solution

The fourth proportional to 91.17, 135.80 and 89.35 is: 133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.17 : 135.80 = 89.35 : x
  2. Step 2: Convert to fraction form
    91.17/135.80 = 89.35/x
  3. Step 3: Cross multiply
    91.17x = 135.80 × 89.35
  4. Step 4: Simplify right side
    91.17x = 12,133.61
  5. Step 5: Solve for x
    x = 12,133.61/91.17
  6. Step 6: Final answer
    x = 133.09

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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.