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Finding the Fourth Proportional to 180.94, 249.79 and 170.14

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Solution

The fourth proportional to 180.94, 249.79 and 170.14 is: 234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 249.79 = 170.14 : x
  2. Step 2: Convert to fraction form
    180.94/249.79 = 170.14/x
  3. Step 3: Cross multiply
    180.94x = 249.79 × 170.14
  4. Step 4: Simplify right side
    180.94x = 42,499.27
  5. Step 5: Solve for x
    x = 42,499.27/180.94
  6. Step 6: Final answer
    x = 234.88

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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.