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Finding the Fourth Proportional to 218.21, 326.12 and 200.91

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Solution

The fourth proportional to 218.21, 326.12 and 200.91 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.21 : 326.12 = 200.91 : x
  2. Step 2: Convert to fraction form
    218.21/326.12 = 200.91/x
  3. Step 3: Cross multiply
    218.21x = 326.12 × 200.91
  4. Step 4: Simplify right side
    218.21x = 65,520.77
  5. Step 5: Solve for x
    x = 65,520.77/218.21
  6. Step 6: Final answer
    x = 300.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.