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Finding the Fourth Proportional to 447.26, 618.30 and 336.96

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Solution

The fourth proportional to 447.26, 618.30 and 336.96 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.26 : 618.30 = 336.96 : x
  2. Step 2: Convert to fraction form
    447.26/618.30 = 336.96/x
  3. Step 3: Cross multiply
    447.26x = 618.30 × 336.96
  4. Step 4: Simplify right side
    447.26x = 208,342.37
  5. Step 5: Solve for x
    x = 208,342.37/447.26
  6. Step 6: Final answer
    x = 465.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.