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Finding the Fourth Proportional to 363.50, 501.78 and 223.64

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Solution

The fourth proportional to 363.50, 501.78 and 223.64 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 501.78 = 223.64 : x
  2. Step 2: Convert to fraction form
    363.50/501.78 = 223.64/x
  3. Step 3: Cross multiply
    363.50x = 501.78 × 223.64
  4. Step 4: Simplify right side
    363.50x = 112,218.08
  5. Step 5: Solve for x
    x = 112,218.08/363.50
  6. Step 6: Final answer
    x = 308.72

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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.