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Finding the Fourth Proportional to 363.79, 544.46 and 219.61

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Solution

The fourth proportional to 363.79, 544.46 and 219.61 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.79 : 544.46 = 219.61 : x
  2. Step 2: Convert to fraction form
    363.79/544.46 = 219.61/x
  3. Step 3: Cross multiply
    363.79x = 544.46 × 219.61
  4. Step 4: Simplify right side
    363.79x = 119,568.86
  5. Step 5: Solve for x
    x = 119,568.86/363.79
  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.