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Finding the Fourth Proportional to 411.49, 616.04 and 216.03

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Solution

The fourth proportional to 411.49, 616.04 and 216.03 is: 323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 616.04 = 216.03 : x
  2. Step 2: Convert to fraction form
    411.49/616.04 = 216.03/x
  3. Step 3: Cross multiply
    411.49x = 616.04 × 216.03
  4. Step 4: Simplify right side
    411.49x = 133,082.04
  5. Step 5: Solve for x
    x = 133,082.04/411.49
  6. Step 6: Final answer
    x = 323.42

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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.