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Finding the Fourth Proportional to 411.07, 616.45 and 137.09

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Solution

The fourth proportional to 411.07, 616.45 and 137.09 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.07 : 616.45 = 137.09 : x
  2. Step 2: Convert to fraction form
    411.07/616.45 = 137.09/x
  3. Step 3: Cross multiply
    411.07x = 616.45 × 137.09
  4. Step 4: Simplify right side
    411.07x = 84,509.13
  5. Step 5: Solve for x
    x = 84,509.13/411.07
  6. Step 6: Final answer
    x = 205.58

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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.