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Finding the Fourth Proportional to 80.96, 111.74 and 57.77

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Solution

The fourth proportional to 80.96, 111.74 and 57.77 is: 79.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.96 : 111.74 = 57.77 : x
  2. Step 2: Convert to fraction form
    80.96/111.74 = 57.77/x
  3. Step 3: Cross multiply
    80.96x = 111.74 × 57.77
  4. Step 4: Simplify right side
    80.96x = 6,454.37
  5. Step 5: Solve for x
    x = 6,454.37/80.96
  6. Step 6: Final answer
    x = 79.73

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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.