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Finding the Fourth Proportional to 224.88, 338.64 and 198.18

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Solution

The fourth proportional to 224.88, 338.64 and 198.18 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.88 : 338.64 = 198.18 : x
  2. Step 2: Convert to fraction form
    224.88/338.64 = 198.18/x
  3. Step 3: Cross multiply
    224.88x = 338.64 × 198.18
  4. Step 4: Simplify right side
    224.88x = 67,111.68
  5. Step 5: Solve for x
    x = 67,111.68/224.88
  6. Step 6: Final answer
    x = 298.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.