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Finding the Fourth Proportional to 412.05, 618.00 and 216.44

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Solution

The fourth proportional to 412.05, 618.00 and 216.44 is: 324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 618.00 = 216.44 : x
  2. Step 2: Convert to fraction form
    412.05/618.00 = 216.44/x
  3. Step 3: Cross multiply
    412.05x = 618.00 × 216.44
  4. Step 4: Simplify right side
    412.05x = 133,758.34
  5. Step 5: Solve for x
    x = 133,758.34/412.05
  6. Step 6: Final answer
    x = 324.61

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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.