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Finding the Fourth Proportional to 201.22, 303.11 and 165.58

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Solution

The fourth proportional to 201.22, 303.11 and 165.58 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.22 : 303.11 = 165.58 : x
  2. Step 2: Convert to fraction form
    201.22/303.11 = 165.58/x
  3. Step 3: Cross multiply
    201.22x = 303.11 × 165.58
  4. Step 4: Simplify right side
    201.22x = 50,187.99
  5. Step 5: Solve for x
    x = 50,187.99/201.22
  6. Step 6: Final answer
    x = 249.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.