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Finding the Fourth Proportional to 538.78, 742.93 and 363.82

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Solution

The fourth proportional to 538.78, 742.93 and 363.82 is: 501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.78 : 742.93 = 363.82 : x
  2. Step 2: Convert to fraction form
    538.78/742.93 = 363.82/x
  3. Step 3: Cross multiply
    538.78x = 742.93 × 363.82
  4. Step 4: Simplify right side
    538.78x = 270,295.10
  5. Step 5: Solve for x
    x = 270,295.10/538.78
  6. Step 6: Final answer
    x = 501.68

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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.