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Finding the Fourth Proportional to 363.21, 500.36 and 252.50

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Solution

The fourth proportional to 363.21, 500.36 and 252.50 is: 347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.21 : 500.36 = 252.50 : x
  2. Step 2: Convert to fraction form
    363.21/500.36 = 252.50/x
  3. Step 3: Cross multiply
    363.21x = 500.36 × 252.50
  4. Step 4: Simplify right side
    363.21x = 126,337.14
  5. Step 5: Solve for x
    x = 126,337.14/363.21
  6. Step 6: Final answer
    x = 347.83

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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.