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Finding the Fourth Proportional to 322.78, 484.14 and 168.25

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Solution

The fourth proportional to 322.78, 484.14 and 168.25 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 484.14 = 168.25 : x
  2. Step 2: Convert to fraction form
    322.78/484.14 = 168.25/x
  3. Step 3: Cross multiply
    322.78x = 484.14 × 168.25
  4. Step 4: Simplify right side
    322.78x = 81,456.56
  5. Step 5: Solve for x
    x = 81,456.56/322.78
  6. Step 6: Final answer
    x = 252.36

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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.