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Finding the Fourth Proportional to 363, 500.96 and 207.80

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Solution

The fourth proportional to 363, 500.96 and 207.80 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 500.96 = 207.80 : x
  2. Step 2: Convert to fraction form
    363/500.96 = 207.80/x
  3. Step 3: Cross multiply
    363x = 500.96 × 207.80
  4. Step 4: Simplify right side
    363x = 104,099.49
  5. Step 5: Solve for x
    x = 104,099.49/363
  6. Step 6: Final answer
    x = 286.78

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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.