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Finding the Fourth Proportional to 410.99, 616.85 and 216.11

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Solution

The fourth proportional to 410.99, 616.85 and 216.11 is: 324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 616.85 = 216.11 : x
  2. Step 2: Convert to fraction form
    410.99/616.85 = 216.11/x
  3. Step 3: Cross multiply
    410.99x = 616.85 × 216.11
  4. Step 4: Simplify right side
    410.99x = 133,308.73
  5. Step 5: Solve for x
    x = 133,308.73/410.99
  6. Step 6: Final answer
    x = 324.36

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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.