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Finding the Fourth Proportional to 219.92, 328.15 and 204.22

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Solution

The fourth proportional to 219.92, 328.15 and 204.22 is: 304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 328.15 = 204.22 : x
  2. Step 2: Convert to fraction form
    219.92/328.15 = 204.22/x
  3. Step 3: Cross multiply
    219.92x = 328.15 × 204.22
  4. Step 4: Simplify right side
    219.92x = 67,015.46
  5. Step 5: Solve for x
    x = 67,015.46/219.92
  6. Step 6: Final answer
    x = 304.73

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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.