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Finding the Fourth Proportional to 198.39, 296.22 and 164.04

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Solution

The fourth proportional to 198.39, 296.22 and 164.04 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 296.22 = 164.04 : x
  2. Step 2: Convert to fraction form
    198.39/296.22 = 164.04/x
  3. Step 3: Cross multiply
    198.39x = 296.22 × 164.04
  4. Step 4: Simplify right side
    198.39x = 48,591.93
  5. Step 5: Solve for x
    x = 48,591.93/198.39
  6. Step 6: Final answer
    x = 244.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.