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Finding the Fourth Proportional to 180.43, 270.24 and 126.37

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Solution

The fourth proportional to 180.43, 270.24 and 126.37 is: 189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 270.24 = 126.37 : x
  2. Step 2: Convert to fraction form
    180.43/270.24 = 126.37/x
  3. Step 3: Cross multiply
    180.43x = 270.24 × 126.37
  4. Step 4: Simplify right side
    180.43x = 34,150.23
  5. Step 5: Solve for x
    x = 34,150.23/180.43
  6. Step 6: Final answer
    x = 189.27

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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.