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Finding the Fourth Proportional to 225.40, 311.19 and 163.13

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Solution

The fourth proportional to 225.40, 311.19 and 163.13 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 311.19 = 163.13 : x
  2. Step 2: Convert to fraction form
    225.40/311.19 = 163.13/x
  3. Step 3: Cross multiply
    225.40x = 311.19 × 163.13
  4. Step 4: Simplify right side
    225.40x = 50,764.42
  5. Step 5: Solve for x
    x = 50,764.42/225.40
  6. Step 6: Final answer
    x = 225.22

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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.