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Finding the Fourth Proportional to 441.31, 662.26 and 197.85

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Solution

The fourth proportional to 441.31, 662.26 and 197.85 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.31 : 662.26 = 197.85 : x
  2. Step 2: Convert to fraction form
    441.31/662.26 = 197.85/x
  3. Step 3: Cross multiply
    441.31x = 662.26 × 197.85
  4. Step 4: Simplify right side
    441.31x = 131,027.65
  5. Step 5: Solve for x
    x = 131,027.65/441.31
  6. Step 6: Final answer
    x = 296.91

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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.