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Finding the Fourth Proportional to 255.69, 352.49 and 218.43

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Solution

The fourth proportional to 255.69, 352.49 and 218.43 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 352.49 = 218.43 : x
  2. Step 2: Convert to fraction form
    255.69/352.49 = 218.43/x
  3. Step 3: Cross multiply
    255.69x = 352.49 × 218.43
  4. Step 4: Simplify right side
    255.69x = 76,993.30
  5. Step 5: Solve for x
    x = 76,993.30/255.69
  6. Step 6: Final answer
    x = 301.12

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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.