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Finding the Fourth Proportional to 229.24, 341.42 and 222.85

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Solution

The fourth proportional to 229.24, 341.42 and 222.85 is: 331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.24 : 341.42 = 222.85 : x
  2. Step 2: Convert to fraction form
    229.24/341.42 = 222.85/x
  3. Step 3: Cross multiply
    229.24x = 341.42 × 222.85
  4. Step 4: Simplify right side
    229.24x = 76,085.45
  5. Step 5: Solve for x
    x = 76,085.45/229.24
  6. Step 6: Final answer
    x = 331.90

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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.