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Finding the Fourth Proportional to 163.08, 243.81 and 122.31

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Solution

The fourth proportional to 163.08, 243.81 and 122.31 is: 182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 243.81 = 122.31 : x
  2. Step 2: Convert to fraction form
    163.08/243.81 = 122.31/x
  3. Step 3: Cross multiply
    163.08x = 243.81 × 122.31
  4. Step 4: Simplify right side
    163.08x = 29,820.40
  5. Step 5: Solve for x
    x = 29,820.40/163.08
  6. Step 6: Final answer
    x = 182.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.