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Finding the Fourth Proportional to 406.91, 610.46 and 261.62

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Solution

The fourth proportional to 406.91, 610.46 and 261.62 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.91 : 610.46 = 261.62 : x
  2. Step 2: Convert to fraction form
    406.91/610.46 = 261.62/x
  3. Step 3: Cross multiply
    406.91x = 610.46 × 261.62
  4. Step 4: Simplify right side
    406.91x = 159,704.18
  5. Step 5: Solve for x
    x = 159,704.18/406.91
  6. Step 6: Final answer
    x = 392.49

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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.