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Finding the Fourth Proportional to 327.32, 491.44 and 281.76

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Solution

The fourth proportional to 327.32, 491.44 and 281.76 is: 423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.32 : 491.44 = 281.76 : x
  2. Step 2: Convert to fraction form
    327.32/491.44 = 281.76/x
  3. Step 3: Cross multiply
    327.32x = 491.44 × 281.76
  4. Step 4: Simplify right side
    327.32x = 138,468.13
  5. Step 5: Solve for x
    x = 138,468.13/327.32
  6. Step 6: Final answer
    x = 423.04

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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.