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Finding the Fourth Proportional to 442.80, 609.12 and 363.12

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Solution

The fourth proportional to 442.80, 609.12 and 363.12 is: 499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 609.12 = 363.12 : x
  2. Step 2: Convert to fraction form
    442.80/609.12 = 363.12/x
  3. Step 3: Cross multiply
    442.80x = 609.12 × 363.12
  4. Step 4: Simplify right side
    442.80x = 221,183.65
  5. Step 5: Solve for x
    x = 221,183.65/442.80
  6. Step 6: Final answer
    x = 499.51

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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.