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Finding the Fourth Proportional to 219.20, 330 and 189.44

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Solution

The fourth proportional to 219.20, 330 and 189.44 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 330 = 189.44 : x
  2. Step 2: Convert to fraction form
    219.20/330 = 189.44/x
  3. Step 3: Cross multiply
    219.20x = 330 × 189.44
  4. Step 4: Simplify right side
    219.20x = 62,515.20
  5. Step 5: Solve for x
    x = 62,515.20/219.20
  6. Step 6: Final answer
    x = 285.20

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1.5x scale

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.