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Finding the Fourth Proportional to 275.48, 380.31 and 205.92

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Solution

The fourth proportional to 275.48, 380.31 and 205.92 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.48 : 380.31 = 205.92 : x
  2. Step 2: Convert to fraction form
    275.48/380.31 = 205.92/x
  3. Step 3: Cross multiply
    275.48x = 380.31 × 205.92
  4. Step 4: Simplify right side
    275.48x = 78,311.53
  5. Step 5: Solve for x
    x = 78,311.53/275.48
  6. Step 6: Final answer
    x = 284.28

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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.