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Finding the Fourth Proportional to 269.70, 404.55 and 257.85

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Solution

The fourth proportional to 269.70, 404.55 and 257.85 is: 386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 404.55 = 257.85 : x
  2. Step 2: Convert to fraction form
    269.70/404.55 = 257.85/x
  3. Step 3: Cross multiply
    269.70x = 404.55 × 257.85
  4. Step 4: Simplify right side
    269.70x = 104,313.22
  5. Step 5: Solve for x
    x = 104,313.22/269.70
  6. Step 6: Final answer
    x = 386.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.