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Finding the Fourth Proportional to 89.46, 122.80 and 85.52

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Solution

The fourth proportional to 89.46, 122.80 and 85.52 is: 117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.46 : 122.80 = 85.52 : x
  2. Step 2: Convert to fraction form
    89.46/122.80 = 85.52/x
  3. Step 3: Cross multiply
    89.46x = 122.80 × 85.52
  4. Step 4: Simplify right side
    89.46x = 10,501.86
  5. Step 5: Solve for x
    x = 10,501.86/89.46
  6. Step 6: Final answer
    x = 117.39

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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.