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Finding the Fourth Proportional to 301.57, 415.94 and 218.95

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Solution

The fourth proportional to 301.57, 415.94 and 218.95 is: 301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.57 : 415.94 = 218.95 : x
  2. Step 2: Convert to fraction form
    301.57/415.94 = 218.95/x
  3. Step 3: Cross multiply
    301.57x = 415.94 × 218.95
  4. Step 4: Simplify right side
    301.57x = 91,067.93
  5. Step 5: Solve for x
    x = 91,067.93/301.57
  6. Step 6: Final answer
    x = 301.98

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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.