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Finding the Fourth Proportional to 490.22, 676.50 and 269.18

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Solution

The fourth proportional to 490.22, 676.50 and 269.18 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 676.50 = 269.18 : x
  2. Step 2: Convert to fraction form
    490.22/676.50 = 269.18/x
  3. Step 3: Cross multiply
    490.22x = 676.50 × 269.18
  4. Step 4: Simplify right side
    490.22x = 182,100.27
  5. Step 5: Solve for x
    x = 182,100.27/490.22
  6. Step 6: Final answer
    x = 371.47

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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.