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Finding the Fourth Proportional to 80.33, 110.77 and 56.97

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Solution

The fourth proportional to 80.33, 110.77 and 56.97 is: 78.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.33 : 110.77 = 56.97 : x
  2. Step 2: Convert to fraction form
    80.33/110.77 = 56.97/x
  3. Step 3: Cross multiply
    80.33x = 110.77 × 56.97
  4. Step 4: Simplify right side
    80.33x = 6,310.42
  5. Step 5: Solve for x
    x = 6,310.42/80.33
  6. Step 6: Final answer
    x = 78.56

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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.