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Finding the Fourth Proportional to 814.95, 1,222.42 and 198.65

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Solution

The fourth proportional to 814.95, 1,222.42 and 198.65 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.95 : 1,222.42 = 198.65 : x
  2. Step 2: Convert to fraction form
    814.95/1,222.42 = 198.65/x
  3. Step 3: Cross multiply
    814.95x = 1,222.42 × 198.65
  4. Step 4: Simplify right side
    814.95x = 242,833.73
  5. Step 5: Solve for x
    x = 242,833.73/814.95
  6. Step 6: Final answer
    x = 297.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.