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Finding the Fourth Proportional to 275.67, 380.30 and 205.61

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Solution

The fourth proportional to 275.67, 380.30 and 205.61 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.67 : 380.30 = 205.61 : x
  2. Step 2: Convert to fraction form
    275.67/380.30 = 205.61/x
  3. Step 3: Cross multiply
    275.67x = 380.30 × 205.61
  4. Step 4: Simplify right side
    275.67x = 78,190.55
  5. Step 5: Solve for x
    x = 78,190.55/275.67
  6. Step 6: Final answer
    x = 283.64

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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.