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Finding the Fourth Proportional to 218.60, 299.09 and 217.96

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Solution

The fourth proportional to 218.60, 299.09 and 217.96 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 299.09 = 217.96 : x
  2. Step 2: Convert to fraction form
    218.60/299.09 = 217.96/x
  3. Step 3: Cross multiply
    218.60x = 299.09 × 217.96
  4. Step 4: Simplify right side
    218.60x = 65,189.66
  5. Step 5: Solve for x
    x = 65,189.66/218.60
  6. Step 6: Final answer
    x = 298.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.