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Finding the Fourth Proportional to 225.72, 311.36 and 163.76

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Solution

The fourth proportional to 225.72, 311.36 and 163.76 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 311.36 = 163.76 : x
  2. Step 2: Convert to fraction form
    225.72/311.36 = 163.76/x
  3. Step 3: Cross multiply
    225.72x = 311.36 × 163.76
  4. Step 4: Simplify right side
    225.72x = 50,985.94
  5. Step 5: Solve for x
    x = 50,985.94/225.72
  6. Step 6: Final answer
    x = 225.88

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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.