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Finding the Fourth Proportional to 201.93, 301.08 and 198.29

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Solution

The fourth proportional to 201.93, 301.08 and 198.29 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.93 : 301.08 = 198.29 : x
  2. Step 2: Convert to fraction form
    201.93/301.08 = 198.29/x
  3. Step 3: Cross multiply
    201.93x = 301.08 × 198.29
  4. Step 4: Simplify right side
    201.93x = 59,699.65
  5. Step 5: Solve for x
    x = 59,699.65/201.93
  6. Step 6: Final answer
    x = 295.65

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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.