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Finding the Fourth Proportional to 363.79, 501.98 and 206.43

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Solution

The fourth proportional to 363.79, 501.98 and 206.43 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.79 : 501.98 = 206.43 : x
  2. Step 2: Convert to fraction form
    363.79/501.98 = 206.43/x
  3. Step 3: Cross multiply
    363.79x = 501.98 × 206.43
  4. Step 4: Simplify right side
    363.79x = 103,623.73
  5. Step 5: Solve for x
    x = 103,623.73/363.79
  6. Step 6: Final answer
    x = 284.84

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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.