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Finding the Fourth Proportional to 411.99, 618.02 and 138.27

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Solution

The fourth proportional to 411.99, 618.02 and 138.27 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.99 : 618.02 = 138.27 : x
  2. Step 2: Convert to fraction form
    411.99/618.02 = 138.27/x
  3. Step 3: Cross multiply
    411.99x = 618.02 × 138.27
  4. Step 4: Simplify right side
    411.99x = 85,452.93
  5. Step 5: Solve for x
    x = 85,452.93/411.99
  6. Step 6: Final answer
    x = 207.42

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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.