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Finding the Fourth Proportional to 89.28, 122.66 and 76.83

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Solution

The fourth proportional to 89.28, 122.66 and 76.83 is: 105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 122.66 = 76.83 : x
  2. Step 2: Convert to fraction form
    89.28/122.66 = 76.83/x
  3. Step 3: Cross multiply
    89.28x = 122.66 × 76.83
  4. Step 4: Simplify right side
    89.28x = 9,423.58
  5. Step 5: Solve for x
    x = 9,423.58/89.28
  6. Step 6: Final answer
    x = 105.55

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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.