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Finding the Fourth Proportional to 232.19, 347.94 and 219.20

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Solution

The fourth proportional to 232.19, 347.94 and 219.20 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.19 : 347.94 = 219.20 : x
  2. Step 2: Convert to fraction form
    232.19/347.94 = 219.20/x
  3. Step 3: Cross multiply
    232.19x = 347.94 × 219.20
  4. Step 4: Simplify right side
    232.19x = 76,267.35
  5. Step 5: Solve for x
    x = 76,267.35/232.19
  6. Step 6: Final answer
    x = 328.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.