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Finding the Fourth Proportional to 201.17, 276.63 and 161.33

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Solution

The fourth proportional to 201.17, 276.63 and 161.33 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.17 : 276.63 = 161.33 : x
  2. Step 2: Convert to fraction form
    201.17/276.63 = 161.33/x
  3. Step 3: Cross multiply
    201.17x = 276.63 × 161.33
  4. Step 4: Simplify right side
    201.17x = 44,627.33
  5. Step 5: Solve for x
    x = 44,627.33/201.17
  6. Step 6: Final answer
    x = 221.84

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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.