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Finding the Fourth Proportional to 163.81, 226.30 and 162.59

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Solution

The fourth proportional to 163.81, 226.30 and 162.59 is: 224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 226.30 = 162.59 : x
  2. Step 2: Convert to fraction form
    163.81/226.30 = 162.59/x
  3. Step 3: Cross multiply
    163.81x = 226.30 × 162.59
  4. Step 4: Simplify right side
    163.81x = 36,794.12
  5. Step 5: Solve for x
    x = 36,794.12/163.81
  6. Step 6: Final answer
    x = 224.61

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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.