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Finding the Fourth Proportional to 201.20, 301.86 and 166.81

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Solution

The fourth proportional to 201.20, 301.86 and 166.81 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.20 : 301.86 = 166.81 : x
  2. Step 2: Convert to fraction form
    201.20/301.86 = 166.81/x
  3. Step 3: Cross multiply
    201.20x = 301.86 × 166.81
  4. Step 4: Simplify right side
    201.20x = 50,353.08
  5. Step 5: Solve for x
    x = 50,353.08/201.20
  6. Step 6: Final answer
    x = 250.26

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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.