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Finding the Fourth Proportional to 363.72, 547.92 and 336.96

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Solution

The fourth proportional to 363.72, 547.92 and 336.96 is: 507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.72 : 547.92 = 336.96 : x
  2. Step 2: Convert to fraction form
    363.72/547.92 = 336.96/x
  3. Step 3: Cross multiply
    363.72x = 547.92 × 336.96
  4. Step 4: Simplify right side
    363.72x = 184,627.12
  5. Step 5: Solve for x
    x = 184,627.12/363.72
  6. Step 6: Final answer
    x = 507.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.