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Finding the Fourth Proportional to 208.67, 289.96 and 206.42

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Solution

The fourth proportional to 208.67, 289.96 and 206.42 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.67 : 289.96 = 206.42 : x
  2. Step 2: Convert to fraction form
    208.67/289.96 = 206.42/x
  3. Step 3: Cross multiply
    208.67x = 289.96 × 206.42
  4. Step 4: Simplify right side
    208.67x = 59,853.54
  5. Step 5: Solve for x
    x = 59,853.54/208.67
  6. Step 6: Final answer
    x = 286.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.