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Finding the Fourth Proportional to 301.32, 415.97 and 218.61

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Solution

The fourth proportional to 301.32, 415.97 and 218.61 is: 301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 415.97 = 218.61 : x
  2. Step 2: Convert to fraction form
    301.32/415.97 = 218.61/x
  3. Step 3: Cross multiply
    301.32x = 415.97 × 218.61
  4. Step 4: Simplify right side
    301.32x = 90,934.11
  5. Step 5: Solve for x
    x = 90,934.11/301.32
  6. Step 6: Final answer
    x = 301.79

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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.