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Finding the Fourth Proportional to 203.11, 282.04 and 201.49

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Solution

The fourth proportional to 203.11, 282.04 and 201.49 is: 279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.11 : 282.04 = 201.49 : x
  2. Step 2: Convert to fraction form
    203.11/282.04 = 201.49/x
  3. Step 3: Cross multiply
    203.11x = 282.04 × 201.49
  4. Step 4: Simplify right side
    203.11x = 56,828.24
  5. Step 5: Solve for x
    x = 56,828.24/203.11
  6. Step 6: Final answer
    x = 279.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.