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Finding the Fourth Proportional to 406.46, 610.68 and 353.64

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Solution

The fourth proportional to 406.46, 610.68 and 353.64 is: 531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 610.68 = 353.64 : x
  2. Step 2: Convert to fraction form
    406.46/610.68 = 353.64/x
  3. Step 3: Cross multiply
    406.46x = 610.68 × 353.64
  4. Step 4: Simplify right side
    406.46x = 215,960.88
  5. Step 5: Solve for x
    x = 215,960.88/406.46
  6. Step 6: Final answer
    x = 531.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.