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Finding the Fourth Proportional to 269.78, 405.28 and 161.65

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Solution

The fourth proportional to 269.78, 405.28 and 161.65 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 405.28 = 161.65 : x
  2. Step 2: Convert to fraction form
    269.78/405.28 = 161.65/x
  3. Step 3: Cross multiply
    269.78x = 405.28 × 161.65
  4. Step 4: Simplify right side
    269.78x = 65,511.49
  5. Step 5: Solve for x
    x = 65,511.49/269.78
  6. Step 6: Final answer
    x = 242.83

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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.