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Finding the Fourth Proportional to 327.32, 452.06 and 306.97

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Solution

The fourth proportional to 327.32, 452.06 and 306.97 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.32 : 452.06 = 306.97 : x
  2. Step 2: Convert to fraction form
    327.32/452.06 = 306.97/x
  3. Step 3: Cross multiply
    327.32x = 452.06 × 306.97
  4. Step 4: Simplify right side
    327.32x = 138,766.19
  5. Step 5: Solve for x
    x = 138,766.19/327.32
  6. Step 6: Final answer
    x = 423.95

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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.