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Finding the Fourth Proportional to 180.92, 249.99 and 141.67

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Solution

The fourth proportional to 180.92, 249.99 and 141.67 is: 195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.99 = 141.67 : x
  2. Step 2: Convert to fraction form
    180.92/249.99 = 141.67/x
  3. Step 3: Cross multiply
    180.92x = 249.99 × 141.67
  4. Step 4: Simplify right side
    180.92x = 35,415.86
  5. Step 5: Solve for x
    x = 35,415.86/180.92
  6. Step 6: Final answer
    x = 195.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.