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Finding the Fourth Proportional to 168.30, 232.49 and 160.20

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Solution

The fourth proportional to 168.30, 232.49 and 160.20 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.30 : 232.49 = 160.20 : x
  2. Step 2: Convert to fraction form
    168.30/232.49 = 160.20/x
  3. Step 3: Cross multiply
    168.30x = 232.49 × 160.20
  4. Step 4: Simplify right side
    168.30x = 37,244.90
  5. Step 5: Solve for x
    x = 37,244.90/168.30
  6. Step 6: Final answer
    x = 221.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.