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Finding the Fourth Proportional to 163.79, 226.23 and 132.74

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Solution

The fourth proportional to 163.79, 226.23 and 132.74 is: 183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.79 : 226.23 = 132.74 : x
  2. Step 2: Convert to fraction form
    163.79/226.23 = 132.74/x
  3. Step 3: Cross multiply
    163.79x = 226.23 × 132.74
  4. Step 4: Simplify right side
    163.79x = 30,029.77
  5. Step 5: Solve for x
    x = 30,029.77/163.79
  6. Step 6: Final answer
    x = 183.34

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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.