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Finding the Fourth Proportional to 200.91, 299.40 and 194.39

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Solution

The fourth proportional to 200.91, 299.40 and 194.39 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 299.40 = 194.39 : x
  2. Step 2: Convert to fraction form
    200.91/299.40 = 194.39/x
  3. Step 3: Cross multiply
    200.91x = 299.40 × 194.39
  4. Step 4: Simplify right side
    200.91x = 58,198.87
  5. Step 5: Solve for x
    x = 58,198.87/200.91
  6. Step 6: Final answer
    x = 289.68

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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.