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Finding the Fourth Proportional to 269.44, 404.64 and 205.76

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Solution

The fourth proportional to 269.44, 404.64 and 205.76 is: 309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 404.64 = 205.76 : x
  2. Step 2: Convert to fraction form
    269.44/404.64 = 205.76/x
  3. Step 3: Cross multiply
    269.44x = 404.64 × 205.76
  4. Step 4: Simplify right side
    269.44x = 83,258.73
  5. Step 5: Solve for x
    x = 83,258.73/269.44
  6. Step 6: Final answer
    x = 309.01

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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.