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Finding the Fourth Proportional to 219.20, 333.37 and 219.20

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Solution

The fourth proportional to 219.20, 333.37 and 219.20 is: 333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 333.37 = 219.20 : x
  2. Step 2: Convert to fraction form
    219.20/333.37 = 219.20/x
  3. Step 3: Cross multiply
    219.20x = 333.37 × 219.20
  4. Step 4: Simplify right side
    219.20x = 73,073.61
  5. Step 5: Solve for x
    x = 73,073.61/219.20
  6. Step 6: Final answer
    x = 333.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.