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Finding the Fourth Proportional to 331.75, 495.37 and 262.49

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Solution

The fourth proportional to 331.75, 495.37 and 262.49 is: 391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 495.37 = 262.49 : x
  2. Step 2: Convert to fraction form
    331.75/495.37 = 262.49/x
  3. Step 3: Cross multiply
    331.75x = 495.37 × 262.49
  4. Step 4: Simplify right side
    331.75x = 130,028.83
  5. Step 5: Solve for x
    x = 130,028.83/331.75
  6. Step 6: Final answer
    x = 391.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.