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Finding the Fourth Proportional to 411.56, 617.34 and 107.56

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Solution

The fourth proportional to 411.56, 617.34 and 107.56 is: 161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.56 : 617.34 = 107.56 : x
  2. Step 2: Convert to fraction form
    411.56/617.34 = 107.56/x
  3. Step 3: Cross multiply
    411.56x = 617.34 × 107.56
  4. Step 4: Simplify right side
    411.56x = 66,403.04
  5. Step 5: Solve for x
    x = 66,403.04/411.56
  6. Step 6: Final answer
    x = 161.34

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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.