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Finding the Fourth Proportional to 135.75, 203.31 and 115.09

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Solution

The fourth proportional to 135.75, 203.31 and 115.09 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 203.31 = 115.09 : x
  2. Step 2: Convert to fraction form
    135.75/203.31 = 115.09/x
  3. Step 3: Cross multiply
    135.75x = 203.31 × 115.09
  4. Step 4: Simplify right side
    135.75x = 23,398.95
  5. Step 5: Solve for x
    x = 23,398.95/135.75
  6. Step 6: Final answer
    x = 172.37

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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.