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Finding the Fourth Proportional to 77.91, 108.24 and 76.94

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Solution

The fourth proportional to 77.91, 108.24 and 76.94 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 108.24 = 76.94 : x
  2. Step 2: Convert to fraction form
    77.91/108.24 = 76.94/x
  3. Step 3: Cross multiply
    77.91x = 108.24 × 76.94
  4. Step 4: Simplify right side
    77.91x = 8,327.99
  5. Step 5: Solve for x
    x = 8,327.99/77.91
  6. Step 6: Final answer
    x = 106.89

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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.