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Finding the Fourth Proportional to 408.36, 611.64 and 335.40

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Solution

The fourth proportional to 408.36, 611.64 and 335.40 is: 502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.36 : 611.64 = 335.40 : x
  2. Step 2: Convert to fraction form
    408.36/611.64 = 335.40/x
  3. Step 3: Cross multiply
    408.36x = 611.64 × 335.40
  4. Step 4: Simplify right side
    408.36x = 205,144.06
  5. Step 5: Solve for x
    x = 205,144.06/408.36
  6. Step 6: Final answer
    x = 502.36

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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.