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Finding the Fourth Proportional to 200.88, 299.34 and 194.35

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Solution

The fourth proportional to 200.88, 299.34 and 194.35 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 299.34 = 194.35 : x
  2. Step 2: Convert to fraction form
    200.88/299.34 = 194.35/x
  3. Step 3: Cross multiply
    200.88x = 299.34 × 194.35
  4. Step 4: Simplify right side
    200.88x = 58,176.73
  5. Step 5: Solve for x
    x = 58,176.73/200.88
  6. Step 6: Final answer
    x = 289.62

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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.