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Finding the Fourth Proportional to 80.82, 110.78 and 79.44

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Solution

The fourth proportional to 80.82, 110.78 and 79.44 is: 108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.82 : 110.78 = 79.44 : x
  2. Step 2: Convert to fraction form
    80.82/110.78 = 79.44/x
  3. Step 3: Cross multiply
    80.82x = 110.78 × 79.44
  4. Step 4: Simplify right side
    80.82x = 8,800.36
  5. Step 5: Solve for x
    x = 8,800.36/80.82
  6. Step 6: Final answer
    x = 108.89

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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.