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Finding the Fourth Proportional to 327.38, 452.36 and 243.68

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Solution

The fourth proportional to 327.38, 452.36 and 243.68 is: 336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 452.36 = 243.68 : x
  2. Step 2: Convert to fraction form
    327.38/452.36 = 243.68/x
  3. Step 3: Cross multiply
    327.38x = 452.36 × 243.68
  4. Step 4: Simplify right side
    327.38x = 110,232.56
  5. Step 5: Solve for x
    x = 110,232.56/327.38
  6. Step 6: Final answer
    x = 336.72

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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.