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Finding the Fourth Proportional to 441.63, 661.77 and 311.63

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Solution

The fourth proportional to 441.63, 661.77 and 311.63 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.63 : 661.77 = 311.63 : x
  2. Step 2: Convert to fraction form
    441.63/661.77 = 311.63/x
  3. Step 3: Cross multiply
    441.63x = 661.77 × 311.63
  4. Step 4: Simplify right side
    441.63x = 206,224.08
  5. Step 5: Solve for x
    x = 206,224.08/441.63
  6. Step 6: Final answer
    x = 466.96

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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.