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Finding the Fourth Proportional to 327.39, 493.05 and 298.23

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Solution

The fourth proportional to 327.39, 493.05 and 298.23 is: 449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.39 : 493.05 = 298.23 : x
  2. Step 2: Convert to fraction form
    327.39/493.05 = 298.23/x
  3. Step 3: Cross multiply
    327.39x = 493.05 × 298.23
  4. Step 4: Simplify right side
    327.39x = 147,042.30
  5. Step 5: Solve for x
    x = 147,042.30/327.39
  6. Step 6: Final answer
    x = 449.13

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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.