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Finding the Fourth Proportional to 221.16, 333.04 and 163.78

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Solution

The fourth proportional to 221.16, 333.04 and 163.78 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 333.04 = 163.78 : x
  2. Step 2: Convert to fraction form
    221.16/333.04 = 163.78/x
  3. Step 3: Cross multiply
    221.16x = 333.04 × 163.78
  4. Step 4: Simplify right side
    221.16x = 54,542.81
  5. Step 5: Solve for x
    x = 54,542.81/221.16
  6. Step 6: Final answer
    x = 246.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.