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Finding the Fourth Proportional to 308.28, 425.20 and 294.48

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Solution

The fourth proportional to 308.28, 425.20 and 294.48 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.28 : 425.20 = 294.48 : x
  2. Step 2: Convert to fraction form
    308.28/425.20 = 294.48/x
  3. Step 3: Cross multiply
    308.28x = 425.20 × 294.48
  4. Step 4: Simplify right side
    308.28x = 125,212.90
  5. Step 5: Solve for x
    x = 125,212.90/308.28
  6. Step 6: Final answer
    x = 406.17

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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.