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Finding the Fourth Proportional to 57.98, 80.36 and 54.47

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Solution

The fourth proportional to 57.98, 80.36 and 54.47 is: 75.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.98 : 80.36 = 54.47 : x
  2. Step 2: Convert to fraction form
    57.98/80.36 = 54.47/x
  3. Step 3: Cross multiply
    57.98x = 80.36 × 54.47
  4. Step 4: Simplify right side
    57.98x = 4,377.21
  5. Step 5: Solve for x
    x = 4,377.21/57.98
  6. Step 6: Final answer
    x = 75.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.