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Finding the Fourth Proportional to 168.27, 252.99 and 147.03

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Solution

The fourth proportional to 168.27, 252.99 and 147.03 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.27 : 252.99 = 147.03 : x
  2. Step 2: Convert to fraction form
    168.27/252.99 = 147.03/x
  3. Step 3: Cross multiply
    168.27x = 252.99 × 147.03
  4. Step 4: Simplify right side
    168.27x = 37,197.12
  5. Step 5: Solve for x
    x = 37,197.12/168.27
  6. Step 6: Final answer
    x = 221.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.