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Finding the Fourth Proportional to 411.29, 617.08 and 257.03

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Solution

The fourth proportional to 411.29, 617.08 and 257.03 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 617.08 = 257.03 : x
  2. Step 2: Convert to fraction form
    411.29/617.08 = 257.03/x
  3. Step 3: Cross multiply
    411.29x = 617.08 × 257.03
  4. Step 4: Simplify right side
    411.29x = 158,608.33
  5. Step 5: Solve for x
    x = 158,608.33/411.29
  6. Step 6: Final answer
    x = 385.64

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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.