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Finding the Fourth Proportional to 204.17, 279.95 and 198.09

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Solution

The fourth proportional to 204.17, 279.95 and 198.09 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 279.95 = 198.09 : x
  2. Step 2: Convert to fraction form
    204.17/279.95 = 198.09/x
  3. Step 3: Cross multiply
    204.17x = 279.95 × 198.09
  4. Step 4: Simplify right side
    204.17x = 55,454.31
  5. Step 5: Solve for x
    x = 55,454.31/204.17
  6. Step 6: Final answer
    x = 271.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.