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Finding the Fourth Proportional to 168.24, 252.23 and 85.96

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Solution

The fourth proportional to 168.24, 252.23 and 85.96 is: 128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 252.23 = 85.96 : x
  2. Step 2: Convert to fraction form
    168.24/252.23 = 85.96/x
  3. Step 3: Cross multiply
    168.24x = 252.23 × 85.96
  4. Step 4: Simplify right side
    168.24x = 21,681.28
  5. Step 5: Solve for x
    x = 21,681.28/168.24
  6. Step 6: Final answer
    x = 128.87

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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.