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Finding the Fourth Proportional to 360.01, 496.22 and 276.99

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Solution

The fourth proportional to 360.01, 496.22 and 276.99 is: 381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.01 : 496.22 = 276.99 : x
  2. Step 2: Convert to fraction form
    360.01/496.22 = 276.99/x
  3. Step 3: Cross multiply
    360.01x = 496.22 × 276.99
  4. Step 4: Simplify right side
    360.01x = 137,447.98
  5. Step 5: Solve for x
    x = 137,447.98/360.01
  6. Step 6: Final answer
    x = 381.79

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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.