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Finding the Fourth Proportional to 201.47, 276.85 and 168.67

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Solution

The fourth proportional to 201.47, 276.85 and 168.67 is: 231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.47 : 276.85 = 168.67 : x
  2. Step 2: Convert to fraction form
    201.47/276.85 = 168.67/x
  3. Step 3: Cross multiply
    201.47x = 276.85 × 168.67
  4. Step 4: Simplify right side
    201.47x = 46,696.29
  5. Step 5: Solve for x
    x = 46,696.29/201.47
  6. Step 6: Final answer
    x = 231.78

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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.