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Finding the Fourth Proportional to 200.91, 299.61 and 199.09

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Solution

The fourth proportional to 200.91, 299.61 and 199.09 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 299.61 = 199.09 : x
  2. Step 2: Convert to fraction form
    200.91/299.61 = 199.09/x
  3. Step 3: Cross multiply
    200.91x = 299.61 × 199.09
  4. Step 4: Simplify right side
    200.91x = 59,646.86
  5. Step 5: Solve for x
    x = 59,646.86/200.91
  6. Step 6: Final answer
    x = 296.88

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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.