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Finding the Fourth Proportional to 88.97, 122.76 and 77.30

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Solution

The fourth proportional to 88.97, 122.76 and 77.30 is: 106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.97 : 122.76 = 77.30 : x
  2. Step 2: Convert to fraction form
    88.97/122.76 = 77.30/x
  3. Step 3: Cross multiply
    88.97x = 122.76 × 77.30
  4. Step 4: Simplify right side
    88.97x = 9,488.73
  5. Step 5: Solve for x
    x = 9,488.73/88.97
  6. Step 6: Final answer
    x = 106.65

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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.