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Finding the Fourth Proportional to 163.31, 243.61 and 137.79

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Solution

The fourth proportional to 163.31, 243.61 and 137.79 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.31 : 243.61 = 137.79 : x
  2. Step 2: Convert to fraction form
    163.31/243.61 = 137.79/x
  3. Step 3: Cross multiply
    163.31x = 243.61 × 137.79
  4. Step 4: Simplify right side
    163.31x = 33,566.68
  5. Step 5: Solve for x
    x = 33,566.68/163.31
  6. Step 6: Final answer
    x = 205.55

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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.