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Finding the Fourth Proportional to 308.23, 422.97 and 280.39

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Solution

The fourth proportional to 308.23, 422.97 and 280.39 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 422.97 = 280.39 : x
  2. Step 2: Convert to fraction form
    308.23/422.97 = 280.39/x
  3. Step 3: Cross multiply
    308.23x = 422.97 × 280.39
  4. Step 4: Simplify right side
    308.23x = 118,596.56
  5. Step 5: Solve for x
    x = 118,596.56/308.23
  6. Step 6: Final answer
    x = 384.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.