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Finding the Fourth Proportional to 323.39, 484.72 and 160.71

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Solution

The fourth proportional to 323.39, 484.72 and 160.71 is: 240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.39 : 484.72 = 160.71 : x
  2. Step 2: Convert to fraction form
    323.39/484.72 = 160.71/x
  3. Step 3: Cross multiply
    323.39x = 484.72 × 160.71
  4. Step 4: Simplify right side
    323.39x = 77,898.55
  5. Step 5: Solve for x
    x = 77,898.55/323.39
  6. Step 6: Final answer
    x = 240.88

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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.