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Finding the Fourth Proportional to 223.02, 331.83 and 217.44

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Solution

The fourth proportional to 223.02, 331.83 and 217.44 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 331.83 = 217.44 : x
  2. Step 2: Convert to fraction form
    223.02/331.83 = 217.44/x
  3. Step 3: Cross multiply
    223.02x = 331.83 × 217.44
  4. Step 4: Simplify right side
    223.02x = 72,153.12
  5. Step 5: Solve for x
    x = 72,153.12/223.02
  6. Step 6: Final answer
    x = 323.53

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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.