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Finding the Fourth Proportional to 221.28, 331.44 and 177.84

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Solution

The fourth proportional to 221.28, 331.44 and 177.84 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 331.44 = 177.84 : x
  2. Step 2: Convert to fraction form
    221.28/331.44 = 177.84/x
  3. Step 3: Cross multiply
    221.28x = 331.44 × 177.84
  4. Step 4: Simplify right side
    221.28x = 58,943.29
  5. Step 5: Solve for x
    x = 58,943.29/221.28
  6. Step 6: Final answer
    x = 266.37

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Why These Related Problems?

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