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Finding the Fourth Proportional to 180.78, 249.57 and 110.94

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Solution

The fourth proportional to 180.78, 249.57 and 110.94 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 249.57 = 110.94 : x
  2. Step 2: Convert to fraction form
    180.78/249.57 = 110.94/x
  3. Step 3: Cross multiply
    180.78x = 249.57 × 110.94
  4. Step 4: Simplify right side
    180.78x = 27,687.30
  5. Step 5: Solve for x
    x = 27,687.30/180.78
  6. Step 6: Final answer
    x = 153.15

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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.