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Finding the Fourth Proportional to 411.75, 617.90 and 164.92

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Solution

The fourth proportional to 411.75, 617.90 and 164.92 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 617.90 = 164.92 : x
  2. Step 2: Convert to fraction form
    411.75/617.90 = 164.92/x
  3. Step 3: Cross multiply
    411.75x = 617.90 × 164.92
  4. Step 4: Simplify right side
    411.75x = 101,903.24
  5. Step 5: Solve for x
    x = 101,903.24/411.75
  6. Step 6: Final answer
    x = 247.49

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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.