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Finding the Fourth Proportional to 229.96, 343.31 and 221.32

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Solution

The fourth proportional to 229.96, 343.31 and 221.32 is: 330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 343.31 = 221.32 : x
  2. Step 2: Convert to fraction form
    229.96/343.31 = 221.32/x
  3. Step 3: Cross multiply
    229.96x = 343.31 × 221.32
  4. Step 4: Simplify right side
    229.96x = 75,981.37
  5. Step 5: Solve for x
    x = 75,981.37/229.96
  6. Step 6: Final answer
    x = 330.41

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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.