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Finding the Fourth Proportional to 163.20, 225.21 and 97.69

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Solution

The fourth proportional to 163.20, 225.21 and 97.69 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 225.21 = 97.69 : x
  2. Step 2: Convert to fraction form
    163.20/225.21 = 97.69/x
  3. Step 3: Cross multiply
    163.20x = 225.21 × 97.69
  4. Step 4: Simplify right side
    163.20x = 22,000.76
  5. Step 5: Solve for x
    x = 22,000.76/163.20
  6. Step 6: Final answer
    x = 134.81

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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.