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Finding the Fourth Proportional to 247.96, 341.31 and 229.74

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Solution

The fourth proportional to 247.96, 341.31 and 229.74 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.96 : 341.31 = 229.74 : x
  2. Step 2: Convert to fraction form
    247.96/341.31 = 229.74/x
  3. Step 3: Cross multiply
    247.96x = 341.31 × 229.74
  4. Step 4: Simplify right side
    247.96x = 78,412.56
  5. Step 5: Solve for x
    x = 78,412.56/247.96
  6. Step 6: Final answer
    x = 316.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.