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Finding the Fourth Proportional to 411.47, 616.87 and 216.22

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Solution

The fourth proportional to 411.47, 616.87 and 216.22 is: 324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 616.87 = 216.22 : x
  2. Step 2: Convert to fraction form
    411.47/616.87 = 216.22/x
  3. Step 3: Cross multiply
    411.47x = 616.87 × 216.22
  4. Step 4: Simplify right side
    411.47x = 133,379.63
  5. Step 5: Solve for x
    x = 133,379.63/411.47
  6. Step 6: Final answer
    x = 324.15

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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.