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Finding the Fourth Proportional to 182.40, 250.32 and 163.86

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Solution

The fourth proportional to 182.40, 250.32 and 163.86 is: 224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.40 : 250.32 = 163.86 : x
  2. Step 2: Convert to fraction form
    182.40/250.32 = 163.86/x
  3. Step 3: Cross multiply
    182.40x = 250.32 × 163.86
  4. Step 4: Simplify right side
    182.40x = 41,017.44
  5. Step 5: Solve for x
    x = 41,017.44/182.40
  6. Step 6: Final answer
    x = 224.88

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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.