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Finding the Fourth Proportional to 201.01, 276.97 and 178.94

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Solution

The fourth proportional to 201.01, 276.97 and 178.94 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.01 : 276.97 = 178.94 : x
  2. Step 2: Convert to fraction form
    201.01/276.97 = 178.94/x
  3. Step 3: Cross multiply
    201.01x = 276.97 × 178.94
  4. Step 4: Simplify right side
    201.01x = 49,561.01
  5. Step 5: Solve for x
    x = 49,561.01/201.01
  6. Step 6: Final answer
    x = 246.56

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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.