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Finding the Fourth Proportional to 205.30, 280.82 and 204.48

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Solution

The fourth proportional to 205.30, 280.82 and 204.48 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 280.82 = 204.48 : x
  2. Step 2: Convert to fraction form
    205.30/280.82 = 204.48/x
  3. Step 3: Cross multiply
    205.30x = 280.82 × 204.48
  4. Step 4: Simplify right side
    205.30x = 57,422.07
  5. Step 5: Solve for x
    x = 57,422.07/205.30
  6. Step 6: Final answer
    x = 279.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.