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Finding the Fourth Proportional to 364.09, 502.43 and 198.31

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Solution

The fourth proportional to 364.09, 502.43 and 198.31 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.09 : 502.43 = 198.31 : x
  2. Step 2: Convert to fraction form
    364.09/502.43 = 198.31/x
  3. Step 3: Cross multiply
    364.09x = 502.43 × 198.31
  4. Step 4: Simplify right side
    364.09x = 99,634.38
  5. Step 5: Solve for x
    x = 99,634.38/364.09
  6. Step 6: Final answer
    x = 273.66

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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.