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Finding the Fourth Proportional to 363.26, 544.69 and 143.68

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Solution

The fourth proportional to 363.26, 544.69 and 143.68 is: 215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.26 : 544.69 = 143.68 : x
  2. Step 2: Convert to fraction form
    363.26/544.69 = 143.68/x
  3. Step 3: Cross multiply
    363.26x = 544.69 × 143.68
  4. Step 4: Simplify right side
    363.26x = 78,259.34
  5. Step 5: Solve for x
    x = 78,259.34/363.26
  6. Step 6: Final answer
    x = 215.44

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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.