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Finding the Fourth Proportional to 490.38, 676.14 and 342.96

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Solution

The fourth proportional to 490.38, 676.14 and 342.96 is: 472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 676.14 = 342.96 : x
  2. Step 2: Convert to fraction form
    490.38/676.14 = 342.96/x
  3. Step 3: Cross multiply
    490.38x = 676.14 × 342.96
  4. Step 4: Simplify right side
    490.38x = 231,888.97
  5. Step 5: Solve for x
    x = 231,888.97/490.38
  6. Step 6: Final answer
    x = 472.88

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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.