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Finding the Fourth Proportional to 231.12, 344.46 and 229.21

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Solution

The fourth proportional to 231.12, 344.46 and 229.21 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 344.46 = 229.21 : x
  2. Step 2: Convert to fraction form
    231.12/344.46 = 229.21/x
  3. Step 3: Cross multiply
    231.12x = 344.46 × 229.21
  4. Step 4: Simplify right side
    231.12x = 78,953.68
  5. Step 5: Solve for x
    x = 78,953.68/231.12
  6. Step 6: Final answer
    x = 341.61

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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.