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Finding the Fourth Proportional to 163.65, 225.77 and 105.42

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Solution

The fourth proportional to 163.65, 225.77 and 105.42 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.65 : 225.77 = 105.42 : x
  2. Step 2: Convert to fraction form
    163.65/225.77 = 105.42/x
  3. Step 3: Cross multiply
    163.65x = 225.77 × 105.42
  4. Step 4: Simplify right side
    163.65x = 23,800.15
  5. Step 5: Solve for x
    x = 23,800.15/163.65
  6. Step 6: Final answer
    x = 145.43

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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.