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Finding the Fourth Proportional to 275.97, 381.17 and 206.34

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Solution

The fourth proportional to 275.97, 381.17 and 206.34 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 381.17 = 206.34 : x
  2. Step 2: Convert to fraction form
    275.97/381.17 = 206.34/x
  3. Step 3: Cross multiply
    275.97x = 381.17 × 206.34
  4. Step 4: Simplify right side
    275.97x = 78,650.21
  5. Step 5: Solve for x
    x = 78,650.21/275.97
  6. Step 6: Final answer
    x = 285.00

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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.