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Finding the Fourth Proportional to 198, 296.40 and 136.17

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Solution

The fourth proportional to 198, 296.40 and 136.17 is: 203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 296.40 = 136.17 : x
  2. Step 2: Convert to fraction form
    198/296.40 = 136.17/x
  3. Step 3: Cross multiply
    198x = 296.40 × 136.17
  4. Step 4: Simplify right side
    198x = 40,360.79
  5. Step 5: Solve for x
    x = 40,360.79/198
  6. Step 6: Final answer
    x = 203.84

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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.