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Finding the Fourth Proportional to 201.69, 278.04 and 198.96

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Solution

The fourth proportional to 201.69, 278.04 and 198.96 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 278.04 = 198.96 : x
  2. Step 2: Convert to fraction form
    201.69/278.04 = 198.96/x
  3. Step 3: Cross multiply
    201.69x = 278.04 × 198.96
  4. Step 4: Simplify right side
    201.69x = 55,318.84
  5. Step 5: Solve for x
    x = 55,318.84/201.69
  6. Step 6: Final answer
    x = 274.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.