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Finding the Fourth Proportional to 363.27, 541.84 and 308.55

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Solution

The fourth proportional to 363.27, 541.84 and 308.55 is: 460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.27 : 541.84 = 308.55 : x
  2. Step 2: Convert to fraction form
    363.27/541.84 = 308.55/x
  3. Step 3: Cross multiply
    363.27x = 541.84 × 308.55
  4. Step 4: Simplify right side
    363.27x = 167,183.96
  5. Step 5: Solve for x
    x = 167,183.96/363.27
  6. Step 6: Final answer
    x = 460.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.