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Finding the Fourth Proportional to 360.52, 496.30 and 311.12

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Solution

The fourth proportional to 360.52, 496.30 and 311.12 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.52 : 496.30 = 311.12 : x
  2. Step 2: Convert to fraction form
    360.52/496.30 = 311.12/x
  3. Step 3: Cross multiply
    360.52x = 496.30 × 311.12
  4. Step 4: Simplify right side
    360.52x = 154,408.86
  5. Step 5: Solve for x
    x = 154,408.86/360.52
  6. Step 6: Final answer
    x = 428.29

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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.