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Finding the Fourth Proportional to 182.92, 275.35 and 163.78

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Solution

The fourth proportional to 182.92, 275.35 and 163.78 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.92 : 275.35 = 163.78 : x
  2. Step 2: Convert to fraction form
    182.92/275.35 = 163.78/x
  3. Step 3: Cross multiply
    182.92x = 275.35 × 163.78
  4. Step 4: Simplify right side
    182.92x = 45,096.82
  5. Step 5: Solve for x
    x = 45,096.82/182.92
  6. Step 6: Final answer
    x = 246.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.