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Finding the Fourth Proportional to 229.45, 318.70 and 222.97

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Solution

The fourth proportional to 229.45, 318.70 and 222.97 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.45 : 318.70 = 222.97 : x
  2. Step 2: Convert to fraction form
    229.45/318.70 = 222.97/x
  3. Step 3: Cross multiply
    229.45x = 318.70 × 222.97
  4. Step 4: Simplify right side
    229.45x = 71,060.62
  5. Step 5: Solve for x
    x = 71,060.62/229.45
  6. Step 6: Final answer
    x = 309.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.