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Finding the Fourth Proportional to 411.40, 617 and 137.42

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Solution

The fourth proportional to 411.40, 617 and 137.42 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 617 = 137.42 : x
  2. Step 2: Convert to fraction form
    411.40/617 = 137.42/x
  3. Step 3: Cross multiply
    411.40x = 617 × 137.42
  4. Step 4: Simplify right side
    411.40x = 84,788.14
  5. Step 5: Solve for x
    x = 84,788.14/411.40
  6. Step 6: Final answer
    x = 206.10

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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.