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Finding the Fourth Proportional to 447.78, 669.99 and 311.09

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Solution

The fourth proportional to 447.78, 669.99 and 311.09 is: 465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.78 : 669.99 = 311.09 : x
  2. Step 2: Convert to fraction form
    447.78/669.99 = 311.09/x
  3. Step 3: Cross multiply
    447.78x = 669.99 × 311.09
  4. Step 4: Simplify right side
    447.78x = 208,427.19
  5. Step 5: Solve for x
    x = 208,427.19/447.78
  6. Step 6: Final answer
    x = 465.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.