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Finding the Fourth Proportional to 201.15, 299.30 and 196.83

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Solution

The fourth proportional to 201.15, 299.30 and 196.83 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.15 : 299.30 = 196.83 : x
  2. Step 2: Convert to fraction form
    201.15/299.30 = 196.83/x
  3. Step 3: Cross multiply
    201.15x = 299.30 × 196.83
  4. Step 4: Simplify right side
    201.15x = 58,910.23
  5. Step 5: Solve for x
    x = 58,910.23/201.15
  6. Step 6: Final answer
    x = 292.87

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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.