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Finding the Fourth Proportional to 490.92, 676.80 and 325.14

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Solution

The fourth proportional to 490.92, 676.80 and 325.14 is: 448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 676.80 = 325.14 : x
  2. Step 2: Convert to fraction form
    490.92/676.80 = 325.14/x
  3. Step 3: Cross multiply
    490.92x = 676.80 × 325.14
  4. Step 4: Simplify right side
    490.92x = 220,054.75
  5. Step 5: Solve for x
    x = 220,054.75/490.92
  6. Step 6: Final answer
    x = 448.25

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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.