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Finding the Fourth Proportional to 198.19, 296.76 and 121.04

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Solution

The fourth proportional to 198.19, 296.76 and 121.04 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.19 : 296.76 = 121.04 : x
  2. Step 2: Convert to fraction form
    198.19/296.76 = 121.04/x
  3. Step 3: Cross multiply
    198.19x = 296.76 × 121.04
  4. Step 4: Simplify right side
    198.19x = 35,921.58
  5. Step 5: Solve for x
    x = 35,921.58/198.19
  6. Step 6: Final answer
    x = 181.25

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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.