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Finding the Fourth Proportional to 201.96, 278.78 and 119.12

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Solution

The fourth proportional to 201.96, 278.78 and 119.12 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.96 : 278.78 = 119.12 : x
  2. Step 2: Convert to fraction form
    201.96/278.78 = 119.12/x
  3. Step 3: Cross multiply
    201.96x = 278.78 × 119.12
  4. Step 4: Simplify right side
    201.96x = 33,206.28
  5. Step 5: Solve for x
    x = 33,206.28/201.96
  6. Step 6: Final answer
    x = 164.42

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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.