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Finding the Fourth Proportional to 327.48, 490.38 and 281.56

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Solution

The fourth proportional to 327.48, 490.38 and 281.56 is: 421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 490.38 = 281.56 : x
  2. Step 2: Convert to fraction form
    327.48/490.38 = 281.56/x
  3. Step 3: Cross multiply
    327.48x = 490.38 × 281.56
  4. Step 4: Simplify right side
    327.48x = 138,071.39
  5. Step 5: Solve for x
    x = 138,071.39/327.48
  6. Step 6: Final answer
    x = 421.62

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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.