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Finding the Fourth Proportional to 308.51, 464.56 and 227.92

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Solution

The fourth proportional to 308.51, 464.56 and 227.92 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.51 : 464.56 = 227.92 : x
  2. Step 2: Convert to fraction form
    308.51/464.56 = 227.92/x
  3. Step 3: Cross multiply
    308.51x = 464.56 × 227.92
  4. Step 4: Simplify right side
    308.51x = 105,882.52
  5. Step 5: Solve for x
    x = 105,882.52/308.51
  6. Step 6: Final answer
    x = 343.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.