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Finding the Fourth Proportional to 363.72, 501.94 and 223.92

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Solution

The fourth proportional to 363.72, 501.94 and 223.92 is: 309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.72 : 501.94 = 223.92 : x
  2. Step 2: Convert to fraction form
    363.72/501.94 = 223.92/x
  3. Step 3: Cross multiply
    363.72x = 501.94 × 223.92
  4. Step 4: Simplify right side
    363.72x = 112,394.29
  5. Step 5: Solve for x
    x = 112,394.29/363.72
  6. Step 6: Final answer
    x = 309.01

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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.