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Finding the Fourth Proportional to 323.39, 446.61 and 282.39

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Solution

The fourth proportional to 323.39, 446.61 and 282.39 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.39 : 446.61 = 282.39 : x
  2. Step 2: Convert to fraction form
    323.39/446.61 = 282.39/x
  3. Step 3: Cross multiply
    323.39x = 446.61 × 282.39
  4. Step 4: Simplify right side
    323.39x = 126,117.58
  5. Step 5: Solve for x
    x = 126,117.58/323.39
  6. Step 6: Final answer
    x = 389.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.