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Finding the Fourth Proportional to 168.80, 251.58 and 165.14

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Solution

The fourth proportional to 168.80, 251.58 and 165.14 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 251.58 = 165.14 : x
  2. Step 2: Convert to fraction form
    168.80/251.58 = 165.14/x
  3. Step 3: Cross multiply
    168.80x = 251.58 × 165.14
  4. Step 4: Simplify right side
    168.80x = 41,545.92
  5. Step 5: Solve for x
    x = 41,545.92/168.80
  6. Step 6: Final answer
    x = 246.13

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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.