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Finding the Fourth Proportional to 308.82, 425.72 and 225.78

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Solution

The fourth proportional to 308.82, 425.72 and 225.78 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.82 : 425.72 = 225.78 : x
  2. Step 2: Convert to fraction form
    308.82/425.72 = 225.78/x
  3. Step 3: Cross multiply
    308.82x = 425.72 × 225.78
  4. Step 4: Simplify right side
    308.82x = 96,119.06
  5. Step 5: Solve for x
    x = 96,119.06/308.82
  6. Step 6: Final answer
    x = 311.25

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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.