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Finding the Fourth Proportional to 229.86, 345.04 and 221.11

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Solution

The fourth proportional to 229.86, 345.04 and 221.11 is: 331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 345.04 = 221.11 : x
  2. Step 2: Convert to fraction form
    229.86/345.04 = 221.11/x
  3. Step 3: Cross multiply
    229.86x = 345.04 × 221.11
  4. Step 4: Simplify right side
    229.86x = 76,290.38
  5. Step 5: Solve for x
    x = 76,290.38/229.86
  6. Step 6: Final answer
    x = 331.90

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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.