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Finding the Fourth Proportional to 327.96, 493.68 and 298.20

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Solution

The fourth proportional to 327.96, 493.68 and 298.20 is: 448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 493.68 = 298.20 : x
  2. Step 2: Convert to fraction form
    327.96/493.68 = 298.20/x
  3. Step 3: Cross multiply
    327.96x = 493.68 × 298.20
  4. Step 4: Simplify right side
    327.96x = 147,215.38
  5. Step 5: Solve for x
    x = 147,215.38/327.96
  6. Step 6: Final answer
    x = 448.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.