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Finding the Fourth Proportional to 221.14, 333.18 and 200.32

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Solution

The fourth proportional to 221.14, 333.18 and 200.32 is: 301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 333.18 = 200.32 : x
  2. Step 2: Convert to fraction form
    221.14/333.18 = 200.32/x
  3. Step 3: Cross multiply
    221.14x = 333.18 × 200.32
  4. Step 4: Simplify right side
    221.14x = 66,741.62
  5. Step 5: Solve for x
    x = 66,741.62/221.14
  6. Step 6: Final answer
    x = 301.81

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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.