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Finding the Fourth Proportional to 382.12, 572.69 and 219.31

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Solution

The fourth proportional to 382.12, 572.69 and 219.31 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.12 : 572.69 = 219.31 : x
  2. Step 2: Convert to fraction form
    382.12/572.69 = 219.31/x
  3. Step 3: Cross multiply
    382.12x = 572.69 × 219.31
  4. Step 4: Simplify right side
    382.12x = 125,595.76
  5. Step 5: Solve for x
    x = 125,595.76/382.12
  6. Step 6: Final answer
    x = 328.68

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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.