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Finding the Fourth Proportional to 269.85, 404.10 and 257.70

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Solution

The fourth proportional to 269.85, 404.10 and 257.70 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.85 : 404.10 = 257.70 : x
  2. Step 2: Convert to fraction form
    269.85/404.10 = 257.70/x
  3. Step 3: Cross multiply
    269.85x = 404.10 × 257.70
  4. Step 4: Simplify right side
    269.85x = 104,136.57
  5. Step 5: Solve for x
    x = 104,136.57/269.85
  6. Step 6: Final answer
    x = 385.91

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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.