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Finding the Fourth Proportional to 375.93, 518.80 and 218.56

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Solution

The fourth proportional to 375.93, 518.80 and 218.56 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.93 : 518.80 = 218.56 : x
  2. Step 2: Convert to fraction form
    375.93/518.80 = 218.56/x
  3. Step 3: Cross multiply
    375.93x = 518.80 × 218.56
  4. Step 4: Simplify right side
    375.93x = 113,388.93
  5. Step 5: Solve for x
    x = 113,388.93/375.93
  6. Step 6: Final answer
    x = 301.62

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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.