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Finding the Fourth Proportional to 163.98, 227.30 and 161.37

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Solution

The fourth proportional to 163.98, 227.30 and 161.37 is: 223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 227.30 = 161.37 : x
  2. Step 2: Convert to fraction form
    163.98/227.30 = 161.37/x
  3. Step 3: Cross multiply
    163.98x = 227.30 × 161.37
  4. Step 4: Simplify right side
    163.98x = 36,678.59
  5. Step 5: Solve for x
    x = 36,678.59/163.98
  6. Step 6: Final answer
    x = 223.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.