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Finding the Fourth Proportional to 163.38, 243.95 and 142.42

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Solution

The fourth proportional to 163.38, 243.95 and 142.42 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 243.95 = 142.42 : x
  2. Step 2: Convert to fraction form
    163.38/243.95 = 142.42/x
  3. Step 3: Cross multiply
    163.38x = 243.95 × 142.42
  4. Step 4: Simplify right side
    163.38x = 34,743.36
  5. Step 5: Solve for x
    x = 34,743.36/163.38
  6. Step 6: Final answer
    x = 212.65

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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.