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Finding the Fourth Proportional to 447.02, 613.92 and 367.82

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Solution

The fourth proportional to 447.02, 613.92 and 367.82 is: 505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.02 : 613.92 = 367.82 : x
  2. Step 2: Convert to fraction form
    447.02/613.92 = 367.82/x
  3. Step 3: Cross multiply
    447.02x = 613.92 × 367.82
  4. Step 4: Simplify right side
    447.02x = 225,812.05
  5. Step 5: Solve for x
    x = 225,812.05/447.02
  6. Step 6: Final answer
    x = 505.15

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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.