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Finding the Fourth Proportional to 363.44, 543.74 and 305.32

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Solution

The fourth proportional to 363.44, 543.74 and 305.32 is: 456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.44 : 543.74 = 305.32 : x
  2. Step 2: Convert to fraction form
    363.44/543.74 = 305.32/x
  3. Step 3: Cross multiply
    363.44x = 543.74 × 305.32
  4. Step 4: Simplify right side
    363.44x = 166,014.70
  5. Step 5: Solve for x
    x = 166,014.70/363.44
  6. Step 6: Final answer
    x = 456.79

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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.