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Finding the Fourth Proportional to 275.74, 380.61 and 205.78

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Solution

The fourth proportional to 275.74, 380.61 and 205.78 is: 284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.74 : 380.61 = 205.78 : x
  2. Step 2: Convert to fraction form
    275.74/380.61 = 205.78/x
  3. Step 3: Cross multiply
    275.74x = 380.61 × 205.78
  4. Step 4: Simplify right side
    275.74x = 78,321.93
  5. Step 5: Solve for x
    x = 78,321.93/275.74
  6. Step 6: Final answer
    x = 284.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.