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Finding the Fourth Proportional to 80.97, 110.84 and 78.51

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Solution

The fourth proportional to 80.97, 110.84 and 78.51 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.97 : 110.84 = 78.51 : x
  2. Step 2: Convert to fraction form
    80.97/110.84 = 78.51/x
  3. Step 3: Cross multiply
    80.97x = 110.84 × 78.51
  4. Step 4: Simplify right side
    80.97x = 8,701.66
  5. Step 5: Solve for x
    x = 8,701.66/80.97
  6. Step 6: Final answer
    x = 107.47

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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.