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Finding the Fourth Proportional to 201.90, 301.38 and 169.40

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Solution

The fourth proportional to 201.90, 301.38 and 169.40 is: 252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 301.38 = 169.40 : x
  2. Step 2: Convert to fraction form
    201.90/301.38 = 169.40/x
  3. Step 3: Cross multiply
    201.90x = 301.38 × 169.40
  4. Step 4: Simplify right side
    201.90x = 51,053.77
  5. Step 5: Solve for x
    x = 51,053.77/201.90
  6. Step 6: Final answer
    x = 252.87

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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.