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Finding the Fourth Proportional to 89.20, 122.96 and 74.64

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Solution

The fourth proportional to 89.20, 122.96 and 74.64 is: 102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.20 : 122.96 = 74.64 : x
  2. Step 2: Convert to fraction form
    89.20/122.96 = 74.64/x
  3. Step 3: Cross multiply
    89.20x = 122.96 × 74.64
  4. Step 4: Simplify right side
    89.20x = 9,177.73
  5. Step 5: Solve for x
    x = 9,177.73/89.20
  6. Step 6: Final answer
    x = 102.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.