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Finding the Fourth Proportional to 360.91, 539.92 and 299.40

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Solution

The fourth proportional to 360.91, 539.92 and 299.40 is: 447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.91 : 539.92 = 299.40 : x
  2. Step 2: Convert to fraction form
    360.91/539.92 = 299.40/x
  3. Step 3: Cross multiply
    360.91x = 539.92 × 299.40
  4. Step 4: Simplify right side
    360.91x = 161,652.05
  5. Step 5: Solve for x
    x = 161,652.05/360.91
  6. Step 6: Final answer
    x = 447.90

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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.