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Finding the Fourth Proportional to 322.70, 482.19 and 219.11

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Solution

The fourth proportional to 322.70, 482.19 and 219.11 is: 327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.70 : 482.19 = 219.11 : x
  2. Step 2: Convert to fraction form
    322.70/482.19 = 219.11/x
  3. Step 3: Cross multiply
    322.70x = 482.19 × 219.11
  4. Step 4: Simplify right side
    322.70x = 105,653.86
  5. Step 5: Solve for x
    x = 105,653.86/322.70
  6. Step 6: Final answer
    x = 327.41

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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.