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Finding the Fourth Proportional to 441.80, 662.54 and 198.19

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Solution

The fourth proportional to 441.80, 662.54 and 198.19 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 662.54 = 198.19 : x
  2. Step 2: Convert to fraction form
    441.80/662.54 = 198.19/x
  3. Step 3: Cross multiply
    441.80x = 662.54 × 198.19
  4. Step 4: Simplify right side
    441.80x = 131,307.64
  5. Step 5: Solve for x
    x = 131,307.64/441.80
  6. Step 6: Final answer
    x = 297.21

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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.