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Finding the Fourth Proportional to 77.97, 108.46 and 76.49

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Solution

The fourth proportional to 77.97, 108.46 and 76.49 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.97 : 108.46 = 76.49 : x
  2. Step 2: Convert to fraction form
    77.97/108.46 = 76.49/x
  3. Step 3: Cross multiply
    77.97x = 108.46 × 76.49
  4. Step 4: Simplify right side
    77.97x = 8,296.28
  5. Step 5: Solve for x
    x = 8,296.28/77.97
  6. Step 6: Final answer
    x = 106.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.