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Finding the Fourth Proportional to 168.10, 230.30 and 161.62

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Solution

The fourth proportional to 168.10, 230.30 and 161.62 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.10 : 230.30 = 161.62 : x
  2. Step 2: Convert to fraction form
    168.10/230.30 = 161.62/x
  3. Step 3: Cross multiply
    168.10x = 230.30 × 161.62
  4. Step 4: Simplify right side
    168.10x = 37,219.13
  5. Step 5: Solve for x
    x = 37,219.13/168.10
  6. Step 6: Final answer
    x = 221.42

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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.