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Finding the Fourth Proportional to 89.80, 133.80 and 80.22

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Solution

The fourth proportional to 89.80, 133.80 and 80.22 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.80 : 133.80 = 80.22 : x
  2. Step 2: Convert to fraction form
    89.80/133.80 = 80.22/x
  3. Step 3: Cross multiply
    89.80x = 133.80 × 80.22
  4. Step 4: Simplify right side
    89.80x = 10,733.97
  5. Step 5: Solve for x
    x = 10,733.97/89.80
  6. Step 6: Final answer
    x = 119.54

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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.