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Finding the Fourth Proportional to 204.12, 279.54 and 201.42

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Solution

The fourth proportional to 204.12, 279.54 and 201.42 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 279.54 = 201.42 : x
  2. Step 2: Convert to fraction form
    204.12/279.54 = 201.42/x
  3. Step 3: Cross multiply
    204.12x = 279.54 × 201.42
  4. Step 4: Simplify right side
    204.12x = 56,304.95
  5. Step 5: Solve for x
    x = 56,304.95/204.12
  6. Step 6: Final answer
    x = 275.84

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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.