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Finding the Fourth Proportional to 179.96, 268.43 and 163.56

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Solution

The fourth proportional to 179.96, 268.43 and 163.56 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 268.43 = 163.56 : x
  2. Step 2: Convert to fraction form
    179.96/268.43 = 163.56/x
  3. Step 3: Cross multiply
    179.96x = 268.43 × 163.56
  4. Step 4: Simplify right side
    179.96x = 43,904.41
  5. Step 5: Solve for x
    x = 43,904.41/179.96
  6. Step 6: Final answer
    x = 243.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.