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Finding the Fourth Proportional to 490.96, 677.52 and 269.91

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Solution

The fourth proportional to 490.96, 677.52 and 269.91 is: 372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 677.52 = 269.91 : x
  2. Step 2: Convert to fraction form
    490.96/677.52 = 269.91/x
  3. Step 3: Cross multiply
    490.96x = 677.52 × 269.91
  4. Step 4: Simplify right side
    490.96x = 182,869.42
  5. Step 5: Solve for x
    x = 182,869.42/490.96
  6. Step 6: Final answer
    x = 372.47

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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.