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Finding the Fourth Proportional to 219.04, 330.19 and 205.12

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Solution

The fourth proportional to 219.04, 330.19 and 205.12 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.04 : 330.19 = 205.12 : x
  2. Step 2: Convert to fraction form
    219.04/330.19 = 205.12/x
  3. Step 3: Cross multiply
    219.04x = 330.19 × 205.12
  4. Step 4: Simplify right side
    219.04x = 67,728.57
  5. Step 5: Solve for x
    x = 67,728.57/219.04
  6. Step 6: Final answer
    x = 309.21

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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.