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Finding the Fourth Proportional to 363.22, 501.04 and 280.29

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Solution

The fourth proportional to 363.22, 501.04 and 280.29 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.22 : 501.04 = 280.29 : x
  2. Step 2: Convert to fraction form
    363.22/501.04 = 280.29/x
  3. Step 3: Cross multiply
    363.22x = 501.04 × 280.29
  4. Step 4: Simplify right side
    363.22x = 140,436.50
  5. Step 5: Solve for x
    x = 140,436.50/363.22
  6. Step 6: Final answer
    x = 386.64

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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.