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Finding the Fourth Proportional to 168.24, 251.76 and 144.16

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Solution

The fourth proportional to 168.24, 251.76 and 144.16 is: 215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 251.76 = 144.16 : x
  2. Step 2: Convert to fraction form
    168.24/251.76 = 144.16/x
  3. Step 3: Cross multiply
    168.24x = 251.76 × 144.16
  4. Step 4: Simplify right side
    168.24x = 36,293.72
  5. Step 5: Solve for x
    x = 36,293.72/168.24
  6. Step 6: Final answer
    x = 215.73

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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.