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Finding the Fourth Proportional to 412.33, 618.77 and 220.09

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Solution

The fourth proportional to 412.33, 618.77 and 220.09 is: 330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.33 : 618.77 = 220.09 : x
  2. Step 2: Convert to fraction form
    412.33/618.77 = 220.09/x
  3. Step 3: Cross multiply
    412.33x = 618.77 × 220.09
  4. Step 4: Simplify right side
    412.33x = 136,185.09
  5. Step 5: Solve for x
    x = 136,185.09/412.33
  6. Step 6: Final answer
    x = 330.28

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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.