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Finding the Fourth Proportional to 221.25, 333.62 and 217.14

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Solution

The fourth proportional to 221.25, 333.62 and 217.14 is: 327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.25 : 333.62 = 217.14 : x
  2. Step 2: Convert to fraction form
    221.25/333.62 = 217.14/x
  3. Step 3: Cross multiply
    221.25x = 333.62 × 217.14
  4. Step 4: Simplify right side
    221.25x = 72,442.25
  5. Step 5: Solve for x
    x = 72,442.25/221.25
  6. Step 6: Final answer
    x = 327.42

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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.