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Finding the Fourth Proportional to 201.31, 301.14 and 172.69

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Solution

The fourth proportional to 201.31, 301.14 and 172.69 is: 258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.31 : 301.14 = 172.69 : x
  2. Step 2: Convert to fraction form
    201.31/301.14 = 172.69/x
  3. Step 3: Cross multiply
    201.31x = 301.14 × 172.69
  4. Step 4: Simplify right side
    201.31x = 52,003.87
  5. Step 5: Solve for x
    x = 52,003.87/201.31
  6. Step 6: Final answer
    x = 258.33

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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.