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Finding the Fourth Proportional to 180.50, 270.34 and 137.09

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Solution

The fourth proportional to 180.50, 270.34 and 137.09 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 270.34 = 137.09 : x
  2. Step 2: Convert to fraction form
    180.50/270.34 = 137.09/x
  3. Step 3: Cross multiply
    180.50x = 270.34 × 137.09
  4. Step 4: Simplify right side
    180.50x = 37,061.24
  5. Step 5: Solve for x
    x = 37,061.24/180.50
  6. Step 6: Final answer
    x = 205.33

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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.