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Finding the Fourth Proportional to 201.65, 300.67 and 198

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Solution

The fourth proportional to 201.65, 300.67 and 198 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 300.67 = 198 : x
  2. Step 2: Convert to fraction form
    201.65/300.67 = 198/x
  3. Step 3: Cross multiply
    201.65x = 300.67 × 198
  4. Step 4: Simplify right side
    201.65x = 59,532.17
  5. Step 5: Solve for x
    x = 59,532.17/201.65
  6. Step 6: Final answer
    x = 295.23

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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.