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Finding the Fourth Proportional to 411.41, 617.26 and 257.16

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Solution

The fourth proportional to 411.41, 617.26 and 257.16 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.41 : 617.26 = 257.16 : x
  2. Step 2: Convert to fraction form
    411.41/617.26 = 257.16/x
  3. Step 3: Cross multiply
    411.41x = 617.26 × 257.16
  4. Step 4: Simplify right side
    411.41x = 158,733.99
  5. Step 5: Solve for x
    x = 158,733.99/411.41
  6. Step 6: Final answer
    x = 385.83

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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.