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Finding the Fourth Proportional to 168.64, 249.52 and 168.16

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Solution

The fourth proportional to 168.64, 249.52 and 168.16 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 249.52 = 168.16 : x
  2. Step 2: Convert to fraction form
    168.64/249.52 = 168.16/x
  3. Step 3: Cross multiply
    168.64x = 249.52 × 168.16
  4. Step 4: Simplify right side
    168.64x = 41,959.28
  5. Step 5: Solve for x
    x = 41,959.28/168.64
  6. Step 6: Final answer
    x = 248.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.