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Finding the Fourth Proportional to 441.72, 663.12 and 198.72

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Solution

The fourth proportional to 441.72, 663.12 and 198.72 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.72 : 663.12 = 198.72 : x
  2. Step 2: Convert to fraction form
    441.72/663.12 = 198.72/x
  3. Step 3: Cross multiply
    441.72x = 663.12 × 198.72
  4. Step 4: Simplify right side
    441.72x = 131,775.21
  5. Step 5: Solve for x
    x = 131,775.21/441.72
  6. Step 6: Final answer
    x = 298.32

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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.