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Finding the Fourth Proportional to 219.47, 331.13 and 217.64

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Solution

The fourth proportional to 219.47, 331.13 and 217.64 is: 328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.47 : 331.13 = 217.64 : x
  2. Step 2: Convert to fraction form
    219.47/331.13 = 217.64/x
  3. Step 3: Cross multiply
    219.47x = 331.13 × 217.64
  4. Step 4: Simplify right side
    219.47x = 72,067.28
  5. Step 5: Solve for x
    x = 72,067.28/219.47
  6. Step 6: Final answer
    x = 328.38

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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.