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Finding the Fourth Proportional to 269.44, 406.20 and 252.40

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Solution

The fourth proportional to 269.44, 406.20 and 252.40 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 406.20 = 252.40 : x
  2. Step 2: Convert to fraction form
    269.44/406.20 = 252.40/x
  3. Step 3: Cross multiply
    269.44x = 406.20 × 252.40
  4. Step 4: Simplify right side
    269.44x = 102,524.88
  5. Step 5: Solve for x
    x = 102,524.88/269.44
  6. Step 6: Final answer
    x = 380.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.