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Finding the Fourth Proportional to 163.96, 224.86 and 157.34

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Solution

The fourth proportional to 163.96, 224.86 and 157.34 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 224.86 = 157.34 : x
  2. Step 2: Convert to fraction form
    163.96/224.86 = 157.34/x
  3. Step 3: Cross multiply
    163.96x = 224.86 × 157.34
  4. Step 4: Simplify right side
    163.96x = 35,379.47
  5. Step 5: Solve for x
    x = 35,379.47/163.96
  6. Step 6: Final answer
    x = 215.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.