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Finding the Fourth Proportional to 308.98, 426.78 and 204.42

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Solution

The fourth proportional to 308.98, 426.78 and 204.42 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.98 : 426.78 = 204.42 : x
  2. Step 2: Convert to fraction form
    308.98/426.78 = 204.42/x
  3. Step 3: Cross multiply
    308.98x = 426.78 × 204.42
  4. Step 4: Simplify right side
    308.98x = 87,242.37
  5. Step 5: Solve for x
    x = 87,242.37/308.98
  6. Step 6: Final answer
    x = 282.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.