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Finding the Fourth Proportional to 208.82, 311.36 and 200.80

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Solution

The fourth proportional to 208.82, 311.36 and 200.80 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 311.36 = 200.80 : x
  2. Step 2: Convert to fraction form
    208.82/311.36 = 200.80/x
  3. Step 3: Cross multiply
    208.82x = 311.36 × 200.80
  4. Step 4: Simplify right side
    208.82x = 62,519.53
  5. Step 5: Solve for x
    x = 62,519.53/208.82
  6. Step 6: Final answer
    x = 299.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.