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Finding the Fourth Proportional to 442.48, 608.11 and 363.67

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Solution

The fourth proportional to 442.48, 608.11 and 363.67 is: 499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.48 : 608.11 = 363.67 : x
  2. Step 2: Convert to fraction form
    442.48/608.11 = 363.67/x
  3. Step 3: Cross multiply
    442.48x = 608.11 × 363.67
  4. Step 4: Simplify right side
    442.48x = 221,151.36
  5. Step 5: Solve for x
    x = 221,151.36/442.48
  6. Step 6: Final answer
    x = 499.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.