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Finding the Fourth Proportional to 221.68, 333.81 and 164.31

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Solution

The fourth proportional to 221.68, 333.81 and 164.31 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.68 : 333.81 = 164.31 : x
  2. Step 2: Convert to fraction form
    221.68/333.81 = 164.31/x
  3. Step 3: Cross multiply
    221.68x = 333.81 × 164.31
  4. Step 4: Simplify right side
    221.68x = 54,846.67
  5. Step 5: Solve for x
    x = 54,846.67/221.68
  6. Step 6: Final answer
    x = 247.42

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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.