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Finding the Fourth Proportional to 269.87, 402.44 and 263.39

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Solution

The fourth proportional to 269.87, 402.44 and 263.39 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.87 : 402.44 = 263.39 : x
  2. Step 2: Convert to fraction form
    269.87/402.44 = 263.39/x
  3. Step 3: Cross multiply
    269.87x = 402.44 × 263.39
  4. Step 4: Simplify right side
    269.87x = 105,995.34
  5. Step 5: Solve for x
    x = 105,995.34/269.87
  6. Step 6: Final answer
    x = 392.77

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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.