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Finding the Fourth Proportional to 537.11, 804.10 and 331.06

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Solution

The fourth proportional to 537.11, 804.10 and 331.06 is: 495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.11 : 804.10 = 331.06 : x
  2. Step 2: Convert to fraction form
    537.11/804.10 = 331.06/x
  3. Step 3: Cross multiply
    537.11x = 804.10 × 331.06
  4. Step 4: Simplify right side
    537.11x = 266,205.35
  5. Step 5: Solve for x
    x = 266,205.35/537.11
  6. Step 6: Final answer
    x = 495.63

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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.