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Finding the Fourth Proportional to 80.19, 110.69 and 57

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Solution

The fourth proportional to 80.19, 110.69 and 57 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.19 : 110.69 = 57 : x
  2. Step 2: Convert to fraction form
    80.19/110.69 = 57/x
  3. Step 3: Cross multiply
    80.19x = 110.69 × 57
  4. Step 4: Simplify right side
    80.19x = 6,309.33
  5. Step 5: Solve for x
    x = 6,309.33/80.19
  6. Step 6: Final answer
    x = 78.68

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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.