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Finding the Fourth Proportional to 180.99, 270.90 and 112.59

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Solution

The fourth proportional to 180.99, 270.90 and 112.59 is: 168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.99 : 270.90 = 112.59 : x
  2. Step 2: Convert to fraction form
    180.99/270.90 = 112.59/x
  3. Step 3: Cross multiply
    180.99x = 270.90 × 112.59
  4. Step 4: Simplify right side
    180.99x = 30,500.63
  5. Step 5: Solve for x
    x = 30,500.63/180.99
  6. Step 6: Final answer
    x = 168.52

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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.