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Finding the Fourth Proportional to 538.47, 806.79 and 245.49

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Solution

The fourth proportional to 538.47, 806.79 and 245.49 is: 367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 806.79 = 245.49 : x
  2. Step 2: Convert to fraction form
    538.47/806.79 = 245.49/x
  3. Step 3: Cross multiply
    538.47x = 806.79 × 245.49
  4. Step 4: Simplify right side
    538.47x = 198,058.88
  5. Step 5: Solve for x
    x = 198,058.88/538.47
  6. Step 6: Final answer
    x = 367.82

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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.