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Finding the Fourth Proportional to 490.65, 676.98 and 294.13

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Solution

The fourth proportional to 490.65, 676.98 and 294.13 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 676.98 = 294.13 : x
  2. Step 2: Convert to fraction form
    490.65/676.98 = 294.13/x
  3. Step 3: Cross multiply
    490.65x = 676.98 × 294.13
  4. Step 4: Simplify right side
    490.65x = 199,120.13
  5. Step 5: Solve for x
    x = 199,120.13/490.65
  6. Step 6: Final answer
    x = 405.83

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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.