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Finding the Fourth Proportional to 226.45, 338.69 and 198.00

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Solution

The fourth proportional to 226.45, 338.69 and 198.00 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.45 : 338.69 = 198.00 : x
  2. Step 2: Convert to fraction form
    226.45/338.69 = 198.00/x
  3. Step 3: Cross multiply
    226.45x = 338.69 × 198.00
  4. Step 4: Simplify right side
    226.45x = 67,058.99
  5. Step 5: Solve for x
    x = 67,058.99/226.45
  6. Step 6: Final answer
    x = 296.14

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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.