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Finding the Fourth Proportional to 163.92, 246.40 and 141.20

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Solution

The fourth proportional to 163.92, 246.40 and 141.20 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 246.40 = 141.20 : x
  2. Step 2: Convert to fraction form
    163.92/246.40 = 141.20/x
  3. Step 3: Cross multiply
    163.92x = 246.40 × 141.20
  4. Step 4: Simplify right side
    163.92x = 34,791.68
  5. Step 5: Solve for x
    x = 34,791.68/163.92
  6. Step 6: Final answer
    x = 212.25

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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.