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Finding the Fourth Proportional to 538.11, 806.82 and 245.31

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Solution

The fourth proportional to 538.11, 806.82 and 245.31 is: 367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.11 : 806.82 = 245.31 : x
  2. Step 2: Convert to fraction form
    538.11/806.82 = 245.31/x
  3. Step 3: Cross multiply
    538.11x = 806.82 × 245.31
  4. Step 4: Simplify right side
    538.11x = 197,921.01
  5. Step 5: Solve for x
    x = 197,921.01/538.11
  6. Step 6: Final answer
    x = 367.81

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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.