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Finding the Fourth Proportional to 163.92, 244.42 and 157.56

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Solution

The fourth proportional to 163.92, 244.42 and 157.56 is: 234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 244.42 = 157.56 : x
  2. Step 2: Convert to fraction form
    163.92/244.42 = 157.56/x
  3. Step 3: Cross multiply
    163.92x = 244.42 × 157.56
  4. Step 4: Simplify right side
    163.92x = 38,510.82
  5. Step 5: Solve for x
    x = 38,510.82/163.92
  6. Step 6: Final answer
    x = 234.94

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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.