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Finding the Fourth Proportional to 324.26, 488.78 and 305.44

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Solution

The fourth proportional to 324.26, 488.78 and 305.44 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.26 : 488.78 = 305.44 : x
  2. Step 2: Convert to fraction form
    324.26/488.78 = 305.44/x
  3. Step 3: Cross multiply
    324.26x = 488.78 × 305.44
  4. Step 4: Simplify right side
    324.26x = 149,292.05
  5. Step 5: Solve for x
    x = 149,292.05/324.26
  6. Step 6: Final answer
    x = 460.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.