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Finding the Fourth Proportional to 406.49, 609.41 and 290.86

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Solution

The fourth proportional to 406.49, 609.41 and 290.86 is: 436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 609.41 = 290.86 : x
  2. Step 2: Convert to fraction form
    406.49/609.41 = 290.86/x
  3. Step 3: Cross multiply
    406.49x = 609.41 × 290.86
  4. Step 4: Simplify right side
    406.49x = 177,252.20
  5. Step 5: Solve for x
    x = 177,252.20/406.49
  6. Step 6: Final answer
    x = 436.06

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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.