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Finding the Fourth Proportional to 490.19, 676.48 and 269.16

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Solution

The fourth proportional to 490.19, 676.48 and 269.16 is: 371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.19 : 676.48 = 269.16 : x
  2. Step 2: Convert to fraction form
    490.19/676.48 = 269.16/x
  3. Step 3: Cross multiply
    490.19x = 676.48 × 269.16
  4. Step 4: Simplify right side
    490.19x = 182,077.89
  5. Step 5: Solve for x
    x = 182,077.89/490.19
  6. Step 6: Final answer
    x = 371.44

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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.