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Finding the Fourth Proportional to 269.62, 401.86 and 254.24

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Solution

The fourth proportional to 269.62, 401.86 and 254.24 is: 378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.62 : 401.86 = 254.24 : x
  2. Step 2: Convert to fraction form
    269.62/401.86 = 254.24/x
  3. Step 3: Cross multiply
    269.62x = 401.86 × 254.24
  4. Step 4: Simplify right side
    269.62x = 102,168.70
  5. Step 5: Solve for x
    x = 102,168.70/269.62
  6. Step 6: Final answer
    x = 378.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.