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Finding the Fourth Proportional to 89.24, 133.68 and 85.48

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Solution

The fourth proportional to 89.24, 133.68 and 85.48 is: 128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 133.68 = 85.48 : x
  2. Step 2: Convert to fraction form
    89.24/133.68 = 85.48/x
  3. Step 3: Cross multiply
    89.24x = 133.68 × 85.48
  4. Step 4: Simplify right side
    89.24x = 11,426.97
  5. Step 5: Solve for x
    x = 11,426.97/89.24
  6. Step 6: Final answer
    x = 128.05

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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.