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Finding the Fourth Proportional to 363.39, 544.42 and 189.88

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Solution

The fourth proportional to 363.39, 544.42 and 189.88 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.39 : 544.42 = 189.88 : x
  2. Step 2: Convert to fraction form
    363.39/544.42 = 189.88/x
  3. Step 3: Cross multiply
    363.39x = 544.42 × 189.88
  4. Step 4: Simplify right side
    363.39x = 103,373.35
  5. Step 5: Solve for x
    x = 103,373.35/363.39
  6. Step 6: Final answer
    x = 284.47

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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.