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Finding the Fourth Proportional to 269.02, 401.86 and 255.70

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Solution

The fourth proportional to 269.02, 401.86 and 255.70 is: 381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.02 : 401.86 = 255.70 : x
  2. Step 2: Convert to fraction form
    269.02/401.86 = 255.70/x
  3. Step 3: Cross multiply
    269.02x = 401.86 × 255.70
  4. Step 4: Simplify right side
    269.02x = 102,755.60
  5. Step 5: Solve for x
    x = 102,755.60/269.02
  6. Step 6: Final answer
    x = 381.96

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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.