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Finding the Fourth Proportional to 80.77, 110.72 and 79.36

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Solution

The fourth proportional to 80.77, 110.72 and 79.36 is: 108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.77 : 110.72 = 79.36 : x
  2. Step 2: Convert to fraction form
    80.77/110.72 = 79.36/x
  3. Step 3: Cross multiply
    80.77x = 110.72 × 79.36
  4. Step 4: Simplify right side
    80.77x = 8,786.74
  5. Step 5: Solve for x
    x = 8,786.74/80.77
  6. Step 6: Final answer
    x = 108.79

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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.