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Finding the Fourth Proportional to 229.38, 315.86 and 204.12

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Solution

The fourth proportional to 229.38, 315.86 and 204.12 is: 281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 315.86 = 204.12 : x
  2. Step 2: Convert to fraction form
    229.38/315.86 = 204.12/x
  3. Step 3: Cross multiply
    229.38x = 315.86 × 204.12
  4. Step 4: Simplify right side
    229.38x = 64,473.34
  5. Step 5: Solve for x
    x = 64,473.34/229.38
  6. Step 6: Final answer
    x = 281.08

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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.