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Finding the Fourth Proportional to 317, 437.22 and 218.92

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Solution

The fourth proportional to 317, 437.22 and 218.92 is: 301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317 : 437.22 = 218.92 : x
  2. Step 2: Convert to fraction form
    317/437.22 = 218.92/x
  3. Step 3: Cross multiply
    317x = 437.22 × 218.92
  4. Step 4: Simplify right side
    317x = 95,716.20
  5. Step 5: Solve for x
    x = 95,716.20/317
  6. Step 6: Final answer
    x = 301.94

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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.