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Finding the Fourth Proportional to 279.21, 418.41 and 198.21

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Solution

The fourth proportional to 279.21, 418.41 and 198.21 is: 297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.21 : 418.41 = 198.21 : x
  2. Step 2: Convert to fraction form
    279.21/418.41 = 198.21/x
  3. Step 3: Cross multiply
    279.21x = 418.41 × 198.21
  4. Step 4: Simplify right side
    279.21x = 82,933.05
  5. Step 5: Solve for x
    x = 82,933.05/279.21
  6. Step 6: Final answer
    x = 297.03

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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.