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Finding the Fourth Proportional to 199.22, 299.73 and 118.11

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Solution

The fourth proportional to 199.22, 299.73 and 118.11 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 299.73 = 118.11 : x
  2. Step 2: Convert to fraction form
    199.22/299.73 = 118.11/x
  3. Step 3: Cross multiply
    199.22x = 299.73 × 118.11
  4. Step 4: Simplify right side
    199.22x = 35,402.68
  5. Step 5: Solve for x
    x = 35,402.68/199.22
  6. Step 6: Final answer
    x = 177.71

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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.