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Finding the Fourth Proportional to 205.24, 281.71 and 182.20

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Solution

The fourth proportional to 205.24, 281.71 and 182.20 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 281.71 = 182.20 : x
  2. Step 2: Convert to fraction form
    205.24/281.71 = 182.20/x
  3. Step 3: Cross multiply
    205.24x = 281.71 × 182.20
  4. Step 4: Simplify right side
    205.24x = 51,327.56
  5. Step 5: Solve for x
    x = 51,327.56/205.24
  6. Step 6: Final answer
    x = 250.09

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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.