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Finding the Fourth Proportional to 57.75, 86.18 and 51.68

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Solution

The fourth proportional to 57.75, 86.18 and 51.68 is: 77.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.75 : 86.18 = 51.68 : x
  2. Step 2: Convert to fraction form
    57.75/86.18 = 51.68/x
  3. Step 3: Cross multiply
    57.75x = 86.18 × 51.68
  4. Step 4: Simplify right side
    57.75x = 4,453.09
  5. Step 5: Solve for x
    x = 4,453.09/57.75
  6. Step 6: Final answer
    x = 77.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.