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Finding the Fourth Proportional to 168.46, 252.60 and 77.18

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Solution

The fourth proportional to 168.46, 252.60 and 77.18 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.46 : 252.60 = 77.18 : x
  2. Step 2: Convert to fraction form
    168.46/252.60 = 77.18/x
  3. Step 3: Cross multiply
    168.46x = 252.60 × 77.18
  4. Step 4: Simplify right side
    168.46x = 19,494.12
  5. Step 5: Solve for x
    x = 19,494.12/168.46
  6. Step 6: Final answer
    x = 115.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.