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Finding the Fourth Proportional to 182.32, 249.62 and 180.56

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Solution

The fourth proportional to 182.32, 249.62 and 180.56 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.32 : 249.62 = 180.56 : x
  2. Step 2: Convert to fraction form
    182.32/249.62 = 180.56/x
  3. Step 3: Cross multiply
    182.32x = 249.62 × 180.56
  4. Step 4: Simplify right side
    182.32x = 45,071.39
  5. Step 5: Solve for x
    x = 45,071.39/182.32
  6. Step 6: Final answer
    x = 247.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.