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Finding the Fourth Proportional to 80.05, 110.45 and 78.84

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Solution

The fourth proportional to 80.05, 110.45 and 78.84 is: 108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.05 : 110.45 = 78.84 : x
  2. Step 2: Convert to fraction form
    80.05/110.45 = 78.84/x
  3. Step 3: Cross multiply
    80.05x = 110.45 × 78.84
  4. Step 4: Simplify right side
    80.05x = 8,707.66
  5. Step 5: Solve for x
    x = 8,707.66/80.05
  6. Step 6: Final answer
    x = 108.78

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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.