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Finding the Fourth Proportional to 331.20, 496.32 and 186.72

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Solution

The fourth proportional to 331.20, 496.32 and 186.72 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 496.32 = 186.72 : x
  2. Step 2: Convert to fraction form
    331.20/496.32 = 186.72/x
  3. Step 3: Cross multiply
    331.20x = 496.32 × 186.72
  4. Step 4: Simplify right side
    331.20x = 92,672.87
  5. Step 5: Solve for x
    x = 92,672.87/331.20
  6. Step 6: Final answer
    x = 279.81

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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.