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Finding the Fourth Proportional to 252.82, 380.96 and 208.17

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Solution

The fourth proportional to 252.82, 380.96 and 208.17 is: 313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.82 : 380.96 = 208.17 : x
  2. Step 2: Convert to fraction form
    252.82/380.96 = 208.17/x
  3. Step 3: Cross multiply
    252.82x = 380.96 × 208.17
  4. Step 4: Simplify right side
    252.82x = 79,304.44
  5. Step 5: Solve for x
    x = 79,304.44/252.82
  6. Step 6: Final answer
    x = 313.68

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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.