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Finding the Fourth Proportional to 375.88, 518.68 and 218.54

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Solution

The fourth proportional to 375.88, 518.68 and 218.54 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.88 : 518.68 = 218.54 : x
  2. Step 2: Convert to fraction form
    375.88/518.68 = 218.54/x
  3. Step 3: Cross multiply
    375.88x = 518.68 × 218.54
  4. Step 4: Simplify right side
    375.88x = 113,352.33
  5. Step 5: Solve for x
    x = 113,352.33/375.88
  6. Step 6: Final answer
    x = 301.57

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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.