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Finding the Fourth Proportional to 363.33, 543.81 and 239.97

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Solution

The fourth proportional to 363.33, 543.81 and 239.97 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.33 : 543.81 = 239.97 : x
  2. Step 2: Convert to fraction form
    363.33/543.81 = 239.97/x
  3. Step 3: Cross multiply
    363.33x = 543.81 × 239.97
  4. Step 4: Simplify right side
    363.33x = 130,498.09
  5. Step 5: Solve for x
    x = 130,498.09/363.33
  6. Step 6: Final answer
    x = 359.17

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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.