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Finding the Fourth Proportional to 490.24, 676.57 and 269.20

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Solution

The fourth proportional to 490.24, 676.57 and 269.20 is: 371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 676.57 = 269.20 : x
  2. Step 2: Convert to fraction form
    490.24/676.57 = 269.20/x
  3. Step 3: Cross multiply
    490.24x = 676.57 × 269.20
  4. Step 4: Simplify right side
    490.24x = 182,132.64
  5. Step 5: Solve for x
    x = 182,132.64/490.24
  6. Step 6: Final answer
    x = 371.52

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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.