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Finding the Fourth Proportional to 441.68, 662.63 and 167.77

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Solution

The fourth proportional to 441.68, 662.63 and 167.77 is: 251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.68 : 662.63 = 167.77 : x
  2. Step 2: Convert to fraction form
    441.68/662.63 = 167.77/x
  3. Step 3: Cross multiply
    441.68x = 662.63 × 167.77
  4. Step 4: Simplify right side
    441.68x = 111,169.44
  5. Step 5: Solve for x
    x = 111,169.44/441.68
  6. Step 6: Final answer
    x = 251.70

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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.