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Finding the Fourth Proportional to 201.11, 301.66 and 186.76

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Solution

The fourth proportional to 201.11, 301.66 and 186.76 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 301.66 = 186.76 : x
  2. Step 2: Convert to fraction form
    201.11/301.66 = 186.76/x
  3. Step 3: Cross multiply
    201.11x = 301.66 × 186.76
  4. Step 4: Simplify right side
    201.11x = 56,338.02
  5. Step 5: Solve for x
    x = 56,338.02/201.11
  6. Step 6: Final answer
    x = 280.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.