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Finding the Fourth Proportional to 89.55, 133.61 and 77.88

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Solution

The fourth proportional to 89.55, 133.61 and 77.88 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.55 : 133.61 = 77.88 : x
  2. Step 2: Convert to fraction form
    89.55/133.61 = 77.88/x
  3. Step 3: Cross multiply
    89.55x = 133.61 × 77.88
  4. Step 4: Simplify right side
    89.55x = 10,405.16
  5. Step 5: Solve for x
    x = 10,405.16/89.55
  6. Step 6: Final answer
    x = 116.19

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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.