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Finding the Fourth Proportional to 201.78, 276.66 and 191.34

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Solution

The fourth proportional to 201.78, 276.66 and 191.34 is: 262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.78 : 276.66 = 191.34 : x
  2. Step 2: Convert to fraction form
    201.78/276.66 = 191.34/x
  3. Step 3: Cross multiply
    201.78x = 276.66 × 191.34
  4. Step 4: Simplify right side
    201.78x = 52,936.12
  5. Step 5: Solve for x
    x = 52,936.12/201.78
  6. Step 6: Final answer
    x = 262.35

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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.