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Finding the Fourth Proportional to 199.82, 275.79 and 121.11

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Solution

The fourth proportional to 199.82, 275.79 and 121.11 is: 167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 275.79 = 121.11 : x
  2. Step 2: Convert to fraction form
    199.82/275.79 = 121.11/x
  3. Step 3: Cross multiply
    199.82x = 275.79 × 121.11
  4. Step 4: Simplify right side
    199.82x = 33,400.93
  5. Step 5: Solve for x
    x = 33,400.93/199.82
  6. Step 6: Final answer
    x = 167.16

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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.