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Finding the Fourth Proportional to 363.40, 544.96 and 132.22

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Solution

The fourth proportional to 363.40, 544.96 and 132.22 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 544.96 = 132.22 : x
  2. Step 2: Convert to fraction form
    363.40/544.96 = 132.22/x
  3. Step 3: Cross multiply
    363.40x = 544.96 × 132.22
  4. Step 4: Simplify right side
    363.40x = 72,054.61
  5. Step 5: Solve for x
    x = 72,054.61/363.40
  6. Step 6: Final answer
    x = 198.28

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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.