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Finding the Fourth Proportional to 441.80, 662.58 and 210.22

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Solution

The fourth proportional to 441.80, 662.58 and 210.22 is: 315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 662.58 = 210.22 : x
  2. Step 2: Convert to fraction form
    441.80/662.58 = 210.22/x
  3. Step 3: Cross multiply
    441.80x = 662.58 × 210.22
  4. Step 4: Simplify right side
    441.80x = 139,286.52
  5. Step 5: Solve for x
    x = 139,286.52/441.80
  6. Step 6: Final answer
    x = 315.27

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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.