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Finding the Fourth Proportional to 322.55, 483.82 and 219.57

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Solution

The fourth proportional to 322.55, 483.82 and 219.57 is: 329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.55 : 483.82 = 219.57 : x
  2. Step 2: Convert to fraction form
    322.55/483.82 = 219.57/x
  3. Step 3: Cross multiply
    322.55x = 483.82 × 219.57
  4. Step 4: Simplify right side
    322.55x = 106,234.08
  5. Step 5: Solve for x
    x = 106,234.08/322.55
  6. Step 6: Final answer
    x = 329.36

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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.