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Finding the Fourth Proportional to 316.59, 436.46 and 218.17

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Solution

The fourth proportional to 316.59, 436.46 and 218.17 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.59 : 436.46 = 218.17 : x
  2. Step 2: Convert to fraction form
    316.59/436.46 = 218.17/x
  3. Step 3: Cross multiply
    316.59x = 436.46 × 218.17
  4. Step 4: Simplify right side
    316.59x = 95,221.93
  5. Step 5: Solve for x
    x = 95,221.93/316.59
  6. Step 6: Final answer
    x = 300.78

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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.