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Finding the Fourth Proportional to 168.20, 229.84 and 167.12

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Solution

The fourth proportional to 168.20, 229.84 and 167.12 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.20 : 229.84 = 167.12 : x
  2. Step 2: Convert to fraction form
    168.20/229.84 = 167.12/x
  3. Step 3: Cross multiply
    168.20x = 229.84 × 167.12
  4. Step 4: Simplify right side
    168.20x = 38,410.86
  5. Step 5: Solve for x
    x = 38,410.86/168.20
  6. Step 6: Final answer
    x = 228.36

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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.