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Finding the Fourth Proportional to 406.90, 610.65 and 326.71

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Solution

The fourth proportional to 406.90, 610.65 and 326.71 is: 490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 610.65 = 326.71 : x
  2. Step 2: Convert to fraction form
    406.90/610.65 = 326.71/x
  3. Step 3: Cross multiply
    406.90x = 610.65 × 326.71
  4. Step 4: Simplify right side
    406.90x = 199,505.46
  5. Step 5: Solve for x
    x = 199,505.46/406.90
  6. Step 6: Final answer
    x = 490.31

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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.