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Finding the Fourth Proportional to 229.96, 316.17 and 204.83

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Solution

The fourth proportional to 229.96, 316.17 and 204.83 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 316.17 = 204.83 : x
  2. Step 2: Convert to fraction form
    229.96/316.17 = 204.83/x
  3. Step 3: Cross multiply
    229.96x = 316.17 × 204.83
  4. Step 4: Simplify right side
    229.96x = 64,761.10
  5. Step 5: Solve for x
    x = 64,761.10/229.96
  6. Step 6: Final answer
    x = 281.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.