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Finding the Fourth Proportional to 363.40, 544.19 and 217.06

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Solution

The fourth proportional to 363.40, 544.19 and 217.06 is: 325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 544.19 = 217.06 : x
  2. Step 2: Convert to fraction form
    363.40/544.19 = 217.06/x
  3. Step 3: Cross multiply
    363.40x = 544.19 × 217.06
  4. Step 4: Simplify right side
    363.40x = 118,119.44
  5. Step 5: Solve for x
    x = 118,119.44/363.40
  6. Step 6: Final answer
    x = 325.04

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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.