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Finding the Fourth Proportional to 375.54, 518.27 and 218.23

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Solution

The fourth proportional to 375.54, 518.27 and 218.23 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 518.27 = 218.23 : x
  2. Step 2: Convert to fraction form
    375.54/518.27 = 218.23/x
  3. Step 3: Cross multiply
    375.54x = 518.27 × 218.23
  4. Step 4: Simplify right side
    375.54x = 113,099.68
  5. Step 5: Solve for x
    x = 113,099.68/375.54
  6. Step 6: Final answer
    x = 301.17

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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.