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Finding the Fourth Proportional to 316.66, 437.22 and 218.62

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Solution

The fourth proportional to 316.66, 437.22 and 218.62 is: 301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 437.22 = 218.62 : x
  2. Step 2: Convert to fraction form
    316.66/437.22 = 218.62/x
  3. Step 3: Cross multiply
    316.66x = 437.22 × 218.62
  4. Step 4: Simplify right side
    316.66x = 95,585.04
  5. Step 5: Solve for x
    x = 95,585.04/316.66
  6. Step 6: Final answer
    x = 301.85

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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.