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Finding the Fourth Proportional to 441.60, 662.72 and 164.21

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Solution

The fourth proportional to 441.60, 662.72 and 164.21 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 662.72 = 164.21 : x
  2. Step 2: Convert to fraction form
    441.60/662.72 = 164.21/x
  3. Step 3: Cross multiply
    441.60x = 662.72 × 164.21
  4. Step 4: Simplify right side
    441.60x = 108,822.35
  5. Step 5: Solve for x
    x = 108,822.35/441.60
  6. Step 6: Final answer
    x = 246.43

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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.