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Finding the Fourth Proportional to 133.09, 199.38 and 111.43

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Solution

The fourth proportional to 133.09, 199.38 and 111.43 is: 166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.09 : 199.38 = 111.43 : x
  2. Step 2: Convert to fraction form
    133.09/199.38 = 111.43/x
  3. Step 3: Cross multiply
    133.09x = 199.38 × 111.43
  4. Step 4: Simplify right side
    133.09x = 22,216.91
  5. Step 5: Solve for x
    x = 22,216.91/133.09
  6. Step 6: Final answer
    x = 166.93

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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.