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Finding the Fourth Proportional to 221.44, 330.56 and 202.24

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Solution

The fourth proportional to 221.44, 330.56 and 202.24 is: 301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 330.56 = 202.24 : x
  2. Step 2: Convert to fraction form
    221.44/330.56 = 202.24/x
  3. Step 3: Cross multiply
    221.44x = 330.56 × 202.24
  4. Step 4: Simplify right side
    221.44x = 66,852.45
  5. Step 5: Solve for x
    x = 66,852.45/221.44
  6. Step 6: Final answer
    x = 301.90

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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.