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Finding the Fourth Proportional to 163.27, 223.90 and 146.85

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Solution

The fourth proportional to 163.27, 223.90 and 146.85 is: 201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 223.90 = 146.85 : x
  2. Step 2: Convert to fraction form
    163.27/223.90 = 146.85/x
  3. Step 3: Cross multiply
    163.27x = 223.90 × 146.85
  4. Step 4: Simplify right side
    163.27x = 32,879.72
  5. Step 5: Solve for x
    x = 32,879.72/163.27
  6. Step 6: Final answer
    x = 201.38

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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.