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Finding the Fourth Proportional to 89.67, 134.24 and 72.44

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Solution

The fourth proportional to 89.67, 134.24 and 72.44 is: 108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.67 : 134.24 = 72.44 : x
  2. Step 2: Convert to fraction form
    89.67/134.24 = 72.44/x
  3. Step 3: Cross multiply
    89.67x = 134.24 × 72.44
  4. Step 4: Simplify right side
    89.67x = 9,723.31
  5. Step 5: Solve for x
    x = 9,723.31/89.67
  6. Step 6: Final answer
    x = 108.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.