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Finding the Fourth Proportional to 411.53, 617.60 and 195.26

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Solution

The fourth proportional to 411.53, 617.60 and 195.26 is: 293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.53 : 617.60 = 195.26 : x
  2. Step 2: Convert to fraction form
    411.53/617.60 = 195.26/x
  3. Step 3: Cross multiply
    411.53x = 617.60 × 195.26
  4. Step 4: Simplify right side
    411.53x = 120,588.51
  5. Step 5: Solve for x
    x = 120,588.51/411.53
  6. Step 6: Final answer
    x = 293.03

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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.