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Finding the Fourth Proportional to 308.50, 461.67 and 227.14

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Solution

The fourth proportional to 308.50, 461.67 and 227.14 is: 339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.50 : 461.67 = 227.14 : x
  2. Step 2: Convert to fraction form
    308.50/461.67 = 227.14/x
  3. Step 3: Cross multiply
    308.50x = 461.67 × 227.14
  4. Step 4: Simplify right side
    308.50x = 104,860.28
  5. Step 5: Solve for x
    x = 104,860.28/308.50
  6. Step 6: Final answer
    x = 339.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.