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Finding the Fourth Proportional to 201.29, 301.51 and 120.09

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Solution

The fourth proportional to 201.29, 301.51 and 120.09 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.29 : 301.51 = 120.09 : x
  2. Step 2: Convert to fraction form
    201.29/301.51 = 120.09/x
  3. Step 3: Cross multiply
    201.29x = 301.51 × 120.09
  4. Step 4: Simplify right side
    201.29x = 36,207.36
  5. Step 5: Solve for x
    x = 36,207.36/201.29
  6. Step 6: Final answer
    x = 179.88

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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.