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Finding the Fourth Proportional to 269.64, 371.75 and 225.41

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Solution

The fourth proportional to 269.64, 371.75 and 225.41 is: 310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 371.75 = 225.41 : x
  2. Step 2: Convert to fraction form
    269.64/371.75 = 225.41/x
  3. Step 3: Cross multiply
    269.64x = 371.75 × 225.41
  4. Step 4: Simplify right side
    269.64x = 83,793.18
  5. Step 5: Solve for x
    x = 83,793.18/269.64
  6. Step 6: Final answer
    x = 310.76

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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.