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Finding the Fourth Proportional to 163.96, 243.89 and 163.42

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Solution

The fourth proportional to 163.96, 243.89 and 163.42 is: 243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 243.89 = 163.42 : x
  2. Step 2: Convert to fraction form
    163.96/243.89 = 163.42/x
  3. Step 3: Cross multiply
    163.96x = 243.89 × 163.42
  4. Step 4: Simplify right side
    163.96x = 39,856.50
  5. Step 5: Solve for x
    x = 39,856.50/163.96
  6. Step 6: Final answer
    x = 243.09

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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.