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Finding the Fourth Proportional to 406.46, 610.24 and 190.20

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Solution

The fourth proportional to 406.46, 610.24 and 190.20 is: 285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 610.24 = 190.20 : x
  2. Step 2: Convert to fraction form
    406.46/610.24 = 190.20/x
  3. Step 3: Cross multiply
    406.46x = 610.24 × 190.20
  4. Step 4: Simplify right side
    406.46x = 116,067.65
  5. Step 5: Solve for x
    x = 116,067.65/406.46
  6. Step 6: Final answer
    x = 285.56

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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.