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Finding the Fourth Proportional to 163.79, 226.14 and 105.66

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Solution

The fourth proportional to 163.79, 226.14 and 105.66 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.79 : 226.14 = 105.66 : x
  2. Step 2: Convert to fraction form
    163.79/226.14 = 105.66/x
  3. Step 3: Cross multiply
    163.79x = 226.14 × 105.66
  4. Step 4: Simplify right side
    163.79x = 23,893.95
  5. Step 5: Solve for x
    x = 23,893.95/163.79
  6. Step 6: Final answer
    x = 145.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.