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Finding the Fourth Proportional to 322.39, 484.00 and 168.42

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Solution

The fourth proportional to 322.39, 484.00 and 168.42 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 484.00 = 168.42 : x
  2. Step 2: Convert to fraction form
    322.39/484.00 = 168.42/x
  3. Step 3: Cross multiply
    322.39x = 484.00 × 168.42
  4. Step 4: Simplify right side
    322.39x = 81,516.07
  5. Step 5: Solve for x
    x = 81,516.07/322.39
  6. Step 6: Final answer
    x = 252.85

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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.