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Finding the Fourth Proportional to 168.67, 251.38 and 162.80

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Solution

The fourth proportional to 168.67, 251.38 and 162.80 is: 242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 251.38 = 162.80 : x
  2. Step 2: Convert to fraction form
    168.67/251.38 = 162.80/x
  3. Step 3: Cross multiply
    168.67x = 251.38 × 162.80
  4. Step 4: Simplify right side
    168.67x = 40,924.66
  5. Step 5: Solve for x
    x = 40,924.66/168.67
  6. Step 6: Final answer
    x = 242.63

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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.