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Finding the Fourth Proportional to 490.81, 677.30 and 269.79

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Solution

The fourth proportional to 490.81, 677.30 and 269.79 is: 372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.81 : 677.30 = 269.79 : x
  2. Step 2: Convert to fraction form
    490.81/677.30 = 269.79/x
  3. Step 3: Cross multiply
    490.81x = 677.30 × 269.79
  4. Step 4: Simplify right side
    490.81x = 182,725.38
  5. Step 5: Solve for x
    x = 182,725.38/490.81
  6. Step 6: Final answer
    x = 372.29

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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.