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Finding the Fourth Proportional to 363.17, 501.28 and 221.43

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Solution

The fourth proportional to 363.17, 501.28 and 221.43 is: 305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.17 : 501.28 = 221.43 : x
  2. Step 2: Convert to fraction form
    363.17/501.28 = 221.43/x
  3. Step 3: Cross multiply
    363.17x = 501.28 × 221.43
  4. Step 4: Simplify right side
    363.17x = 110,998.43
  5. Step 5: Solve for x
    x = 110,998.43/363.17
  6. Step 6: Final answer
    x = 305.64

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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.