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Finding the Fourth Proportional to 538.53, 742.89 and 363.57

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Solution

The fourth proportional to 538.53, 742.89 and 363.57 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.53 : 742.89 = 363.57 : x
  2. Step 2: Convert to fraction form
    538.53/742.89 = 363.57/x
  3. Step 3: Cross multiply
    538.53x = 742.89 × 363.57
  4. Step 4: Simplify right side
    538.53x = 270,092.52
  5. Step 5: Solve for x
    x = 270,092.52/538.53
  6. Step 6: Final answer
    x = 501.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.