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Finding the Fourth Proportional to 182.76, 275.37 and 163.11

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Solution

The fourth proportional to 182.76, 275.37 and 163.11 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.76 : 275.37 = 163.11 : x
  2. Step 2: Convert to fraction form
    182.76/275.37 = 163.11/x
  3. Step 3: Cross multiply
    182.76x = 275.37 × 163.11
  4. Step 4: Simplify right side
    182.76x = 44,913.41
  5. Step 5: Solve for x
    x = 44,913.41/182.76
  6. Step 6: Final answer
    x = 245.76

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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.