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Finding the Fourth Proportional to 89.28, 122.34 and 85.92

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Solution

The fourth proportional to 89.28, 122.34 and 85.92 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 122.34 = 85.92 : x
  2. Step 2: Convert to fraction form
    89.28/122.34 = 85.92/x
  3. Step 3: Cross multiply
    89.28x = 122.34 × 85.92
  4. Step 4: Simplify right side
    89.28x = 10,511.45
  5. Step 5: Solve for x
    x = 10,511.45/89.28
  6. Step 6: Final answer
    x = 117.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.