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Finding the Fourth Proportional to 441.20, 661.90 and 279

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Solution

The fourth proportional to 441.20, 661.90 and 279 is: 418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 661.90 = 279 : x
  2. Step 2: Convert to fraction form
    441.20/661.90 = 279/x
  3. Step 3: Cross multiply
    441.20x = 661.90 × 279
  4. Step 4: Simplify right side
    441.20x = 184,670.10
  5. Step 5: Solve for x
    x = 184,670.10/441.20
  6. Step 6: Final answer
    x = 418.56

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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.