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Finding the Fourth Proportional to 490.29, 676.26 and 342.96

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Solution

The fourth proportional to 490.29, 676.26 and 342.96 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 676.26 = 342.96 : x
  2. Step 2: Convert to fraction form
    490.29/676.26 = 342.96/x
  3. Step 3: Cross multiply
    490.29x = 676.26 × 342.96
  4. Step 4: Simplify right side
    490.29x = 231,930.13
  5. Step 5: Solve for x
    x = 231,930.13/490.29
  6. Step 6: Final answer
    x = 473.05

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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.