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Finding the Fourth Proportional to 163.11, 226.23 and 146.91

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Solution

The fourth proportional to 163.11, 226.23 and 146.91 is: 203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.11 : 226.23 = 146.91 : x
  2. Step 2: Convert to fraction form
    163.11/226.23 = 146.91/x
  3. Step 3: Cross multiply
    163.11x = 226.23 × 146.91
  4. Step 4: Simplify right side
    163.11x = 33,235.45
  5. Step 5: Solve for x
    x = 33,235.45/163.11
  6. Step 6: Final answer
    x = 203.76

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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.