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Finding the Fourth Proportional to 57.50, 79.32 and 36.80

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Solution

The fourth proportional to 57.50, 79.32 and 36.80 is: 50.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.50 : 79.32 = 36.80 : x
  2. Step 2: Convert to fraction form
    57.50/79.32 = 36.80/x
  3. Step 3: Cross multiply
    57.50x = 79.32 × 36.80
  4. Step 4: Simplify right side
    57.50x = 2,918.78
  5. Step 5: Solve for x
    x = 2,918.78/57.50
  6. Step 6: Final answer
    x = 50.76

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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.