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Finding the Fourth Proportional to 216.88, 326.96 and 205.12

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Solution

The fourth proportional to 216.88, 326.96 and 205.12 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 326.96 = 205.12 : x
  2. Step 2: Convert to fraction form
    216.88/326.96 = 205.12/x
  3. Step 3: Cross multiply
    216.88x = 326.96 × 205.12
  4. Step 4: Simplify right side
    216.88x = 67,066.04
  5. Step 5: Solve for x
    x = 67,066.04/216.88
  6. Step 6: Final answer
    x = 309.23

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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.