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Finding the Fourth Proportional to 89.39, 133.46 and 80.28

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Solution

The fourth proportional to 89.39, 133.46 and 80.28 is: 119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.39 : 133.46 = 80.28 : x
  2. Step 2: Convert to fraction form
    89.39/133.46 = 80.28/x
  3. Step 3: Cross multiply
    89.39x = 133.46 × 80.28
  4. Step 4: Simplify right side
    89.39x = 10,713.77
  5. Step 5: Solve for x
    x = 10,713.77/89.39
  6. Step 6: Final answer
    x = 119.86

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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.