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Finding the Fourth Proportional to 218.66, 327.34 and 213.42

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Solution

The fourth proportional to 218.66, 327.34 and 213.42 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.66 : 327.34 = 213.42 : x
  2. Step 2: Convert to fraction form
    218.66/327.34 = 213.42/x
  3. Step 3: Cross multiply
    218.66x = 327.34 × 213.42
  4. Step 4: Simplify right side
    218.66x = 69,859.84
  5. Step 5: Solve for x
    x = 69,859.84/218.66
  6. Step 6: Final answer
    x = 319.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.