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Finding the Fourth Proportional to 330.87, 496.92 and 276.05

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Solution

The fourth proportional to 330.87, 496.92 and 276.05 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.87 : 496.92 = 276.05 : x
  2. Step 2: Convert to fraction form
    330.87/496.92 = 276.05/x
  3. Step 3: Cross multiply
    330.87x = 496.92 × 276.05
  4. Step 4: Simplify right side
    330.87x = 137,174.77
  5. Step 5: Solve for x
    x = 137,174.77/330.87
  6. Step 6: Final answer
    x = 414.59

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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.