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Finding the Fourth Proportional to 163.72, 246.57 and 123.42

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Solution

The fourth proportional to 163.72, 246.57 and 123.42 is: 185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.72 : 246.57 = 123.42 : x
  2. Step 2: Convert to fraction form
    163.72/246.57 = 123.42/x
  3. Step 3: Cross multiply
    163.72x = 246.57 × 123.42
  4. Step 4: Simplify right side
    163.72x = 30,432.48
  5. Step 5: Solve for x
    x = 30,432.48/163.72
  6. Step 6: Final answer
    x = 185.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.