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Finding the Fourth Proportional to 221.57, 331.81 and 203.75

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Solution

The fourth proportional to 221.57, 331.81 and 203.75 is: 305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.57 : 331.81 = 203.75 : x
  2. Step 2: Convert to fraction form
    221.57/331.81 = 203.75/x
  3. Step 3: Cross multiply
    221.57x = 331.81 × 203.75
  4. Step 4: Simplify right side
    221.57x = 67,606.29
  5. Step 5: Solve for x
    x = 67,606.29/221.57
  6. Step 6: Final answer
    x = 305.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.