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Finding the Fourth Proportional to 363.13, 500.88 and 289.42

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Solution

The fourth proportional to 363.13, 500.88 and 289.42 is: 399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.13 : 500.88 = 289.42 : x
  2. Step 2: Convert to fraction form
    363.13/500.88 = 289.42/x
  3. Step 3: Cross multiply
    363.13x = 500.88 × 289.42
  4. Step 4: Simplify right side
    363.13x = 144,964.69
  5. Step 5: Solve for x
    x = 144,964.69/363.13
  6. Step 6: Final answer
    x = 399.21

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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.