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Finding the Fourth Proportional to 300.91, 415.77 and 218.29

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Solution

The fourth proportional to 300.91, 415.77 and 218.29 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.91 : 415.77 = 218.29 : x
  2. Step 2: Convert to fraction form
    300.91/415.77 = 218.29/x
  3. Step 3: Cross multiply
    300.91x = 415.77 × 218.29
  4. Step 4: Simplify right side
    300.91x = 90,758.43
  5. Step 5: Solve for x
    x = 90,758.43/300.91
  6. Step 6: Final answer
    x = 301.61

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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.