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Finding the Fourth Proportional to 89.34, 133.24 and 80.23

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Solution

The fourth proportional to 89.34, 133.24 and 80.23 is: 119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.34 : 133.24 = 80.23 : x
  2. Step 2: Convert to fraction form
    89.34/133.24 = 80.23/x
  3. Step 3: Cross multiply
    89.34x = 133.24 × 80.23
  4. Step 4: Simplify right side
    89.34x = 10,689.85
  5. Step 5: Solve for x
    x = 10,689.85/89.34
  6. Step 6: Final answer
    x = 119.65

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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.