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Finding the Fourth Proportional to 208.49, 289.11 and 201.80

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Solution

The fourth proportional to 208.49, 289.11 and 201.80 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 289.11 = 201.80 : x
  2. Step 2: Convert to fraction form
    208.49/289.11 = 201.80/x
  3. Step 3: Cross multiply
    208.49x = 289.11 × 201.80
  4. Step 4: Simplify right side
    208.49x = 58,343.88
  5. Step 5: Solve for x
    x = 58,343.88/208.49
  6. Step 6: Final answer
    x = 279.85

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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.