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Finding the Fourth Proportional to 163.38, 223.83 and 157.22

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Solution

The fourth proportional to 163.38, 223.83 and 157.22 is: 215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 223.83 = 157.22 : x
  2. Step 2: Convert to fraction form
    163.38/223.83 = 157.22/x
  3. Step 3: Cross multiply
    163.38x = 223.83 × 157.22
  4. Step 4: Simplify right side
    163.38x = 35,190.52
  5. Step 5: Solve for x
    x = 35,190.52/163.38
  6. Step 6: Final answer
    x = 215.40

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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.