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Finding the Fourth Proportional to 208.20, 281.79 and 208.20

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Solution

The fourth proportional to 208.20, 281.79 and 208.20 is: 281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 281.79 = 208.20 : x
  2. Step 2: Convert to fraction form
    208.20/281.79 = 208.20/x
  3. Step 3: Cross multiply
    208.20x = 281.79 × 208.20
  4. Step 4: Simplify right side
    208.20x = 58,668.68
  5. Step 5: Solve for x
    x = 58,668.68/208.20
  6. Step 6: Final answer
    x = 281.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.