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Finding the Fourth Proportional to 180.45, 249.08 and 110.57

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Solution

The fourth proportional to 180.45, 249.08 and 110.57 is: 152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 249.08 = 110.57 : x
  2. Step 2: Convert to fraction form
    180.45/249.08 = 110.57/x
  3. Step 3: Cross multiply
    180.45x = 249.08 × 110.57
  4. Step 4: Simplify right side
    180.45x = 27,538.98
  5. Step 5: Solve for x
    x = 27,538.98/180.45
  6. Step 6: Final answer
    x = 152.61

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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.