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Finding the Fourth Proportional to 375.97, 518.87 and 218.66

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Solution

The fourth proportional to 375.97, 518.87 and 218.66 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.97 : 518.87 = 218.66 : x
  2. Step 2: Convert to fraction form
    375.97/518.87 = 218.66/x
  3. Step 3: Cross multiply
    375.97x = 518.87 × 218.66
  4. Step 4: Simplify right side
    375.97x = 113,456.11
  5. Step 5: Solve for x
    x = 113,456.11/375.97
  6. Step 6: Final answer
    x = 301.77

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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.