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Finding the Fourth Proportional to 168.80, 230.94 and 167.18

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Solution

The fourth proportional to 168.80, 230.94 and 167.18 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 230.94 = 167.18 : x
  2. Step 2: Convert to fraction form
    168.80/230.94 = 167.18/x
  3. Step 3: Cross multiply
    168.80x = 230.94 × 167.18
  4. Step 4: Simplify right side
    168.80x = 38,608.55
  5. Step 5: Solve for x
    x = 38,608.55/168.80
  6. Step 6: Final answer
    x = 228.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.