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Finding the Fourth Proportional to 363.46, 544.64 and 219.02

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Solution

The fourth proportional to 363.46, 544.64 and 219.02 is: 328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.46 : 544.64 = 219.02 : x
  2. Step 2: Convert to fraction form
    363.46/544.64 = 219.02/x
  3. Step 3: Cross multiply
    363.46x = 544.64 × 219.02
  4. Step 4: Simplify right side
    363.46x = 119,287.05
  5. Step 5: Solve for x
    x = 119,287.05/363.46
  6. Step 6: Final answer
    x = 328.20

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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.