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Finding the Fourth Proportional to 180.96, 249.68 and 110.96

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Solution

The fourth proportional to 180.96, 249.68 and 110.96 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 249.68 = 110.96 : x
  2. Step 2: Convert to fraction form
    180.96/249.68 = 110.96/x
  3. Step 3: Cross multiply
    180.96x = 249.68 × 110.96
  4. Step 4: Simplify right side
    180.96x = 27,704.49
  5. Step 5: Solve for x
    x = 27,704.49/180.96
  6. Step 6: Final answer
    x = 153.10

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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.