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Finding the Fourth Proportional to 441.40, 662.52 and 198

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Solution

The fourth proportional to 441.40, 662.52 and 198 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.40 : 662.52 = 198 : x
  2. Step 2: Convert to fraction form
    441.40/662.52 = 198/x
  3. Step 3: Cross multiply
    441.40x = 662.52 × 198
  4. Step 4: Simplify right side
    441.40x = 131,178.96
  5. Step 5: Solve for x
    x = 131,178.96/441.40
  6. Step 6: Final answer
    x = 297.19

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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.