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Finding the Fourth Proportional to 221.90, 331.40 and 178.64

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Solution

The fourth proportional to 221.90, 331.40 and 178.64 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 331.40 = 178.64 : x
  2. Step 2: Convert to fraction form
    221.90/331.40 = 178.64/x
  3. Step 3: Cross multiply
    221.90x = 331.40 × 178.64
  4. Step 4: Simplify right side
    221.90x = 59,201.30
  5. Step 5: Solve for x
    x = 59,201.30/221.90
  6. Step 6: Final answer
    x = 266.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.