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Finding the Fourth Proportional to 441.75, 662.68 and 167.77

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Solution

The fourth proportional to 441.75, 662.68 and 167.77 is: 251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 662.68 = 167.77 : x
  2. Step 2: Convert to fraction form
    441.75/662.68 = 167.77/x
  3. Step 3: Cross multiply
    441.75x = 662.68 × 167.77
  4. Step 4: Simplify right side
    441.75x = 111,178.86
  5. Step 5: Solve for x
    x = 111,178.86/441.75
  6. Step 6: Final answer
    x = 251.68

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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.