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Finding the Fourth Proportional to 218.43, 329.27 and 205.20

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Solution

The fourth proportional to 218.43, 329.27 and 205.20 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 329.27 = 205.20 : x
  2. Step 2: Convert to fraction form
    218.43/329.27 = 205.20/x
  3. Step 3: Cross multiply
    218.43x = 329.27 × 205.20
  4. Step 4: Simplify right side
    218.43x = 67,565.18
  5. Step 5: Solve for x
    x = 67,565.18/218.43
  6. Step 6: Final answer
    x = 309.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.