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Finding the Fourth Proportional to 408.51, 611.69 and 336.69

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Solution

The fourth proportional to 408.51, 611.69 and 336.69 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 611.69 = 336.69 : x
  2. Step 2: Convert to fraction form
    408.51/611.69 = 336.69/x
  3. Step 3: Cross multiply
    408.51x = 611.69 × 336.69
  4. Step 4: Simplify right side
    408.51x = 205,948.22
  5. Step 5: Solve for x
    x = 205,948.22/408.51
  6. Step 6: Final answer
    x = 504.14

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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.