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Finding the Fourth Proportional to 363.13, 500.82 and 289.33

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Solution

The fourth proportional to 363.13, 500.82 and 289.33 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.13 : 500.82 = 289.33 : x
  2. Step 2: Convert to fraction form
    363.13/500.82 = 289.33/x
  3. Step 3: Cross multiply
    363.13x = 500.82 × 289.33
  4. Step 4: Simplify right side
    363.13x = 144,902.25
  5. Step 5: Solve for x
    x = 144,902.25/363.13
  6. Step 6: Final answer
    x = 399.04

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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.