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Finding the Fourth Proportional to 360.24, 495.72 and 331.44

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Solution

The fourth proportional to 360.24, 495.72 and 331.44 is: 456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 495.72 = 331.44 : x
  2. Step 2: Convert to fraction form
    360.24/495.72 = 331.44/x
  3. Step 3: Cross multiply
    360.24x = 495.72 × 331.44
  4. Step 4: Simplify right side
    360.24x = 164,301.44
  5. Step 5: Solve for x
    x = 164,301.44/360.24
  6. Step 6: Final answer
    x = 456.09

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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.