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Finding the Fourth Proportional to 57.98, 80 and 36.16

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Solution

The fourth proportional to 57.98, 80 and 36.16 is: 49.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.98 : 80 = 36.16 : x
  2. Step 2: Convert to fraction form
    57.98/80 = 36.16/x
  3. Step 3: Cross multiply
    57.98x = 80 × 36.16
  4. Step 4: Simplify right side
    57.98x = 2,892.80
  5. Step 5: Solve for x
    x = 2,892.80/57.98
  6. Step 6: Final answer
    x = 49.89

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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.