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Finding the Fourth Proportional to 208.62, 310.89 and 200.88

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Solution

The fourth proportional to 208.62, 310.89 and 200.88 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.62 : 310.89 = 200.88 : x
  2. Step 2: Convert to fraction form
    208.62/310.89 = 200.88/x
  3. Step 3: Cross multiply
    208.62x = 310.89 × 200.88
  4. Step 4: Simplify right side
    208.62x = 62,451.58
  5. Step 5: Solve for x
    x = 62,451.58/208.62
  6. Step 6: Final answer
    x = 299.36

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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.