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Finding the Fourth Proportional to 327.72, 452.22 and 298.56

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Solution

The fourth proportional to 327.72, 452.22 and 298.56 is: 411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.72 : 452.22 = 298.56 : x
  2. Step 2: Convert to fraction form
    327.72/452.22 = 298.56/x
  3. Step 3: Cross multiply
    327.72x = 452.22 × 298.56
  4. Step 4: Simplify right side
    327.72x = 135,014.80
  5. Step 5: Solve for x
    x = 135,014.80/327.72
  6. Step 6: Final answer
    x = 411.98

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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.