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Finding the Fourth Proportional to 411.67, 617.64 and 257.41

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Solution

The fourth proportional to 411.67, 617.64 and 257.41 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 617.64 = 257.41 : x
  2. Step 2: Convert to fraction form
    411.67/617.64 = 257.41/x
  3. Step 3: Cross multiply
    411.67x = 617.64 × 257.41
  4. Step 4: Simplify right side
    411.67x = 158,982.34
  5. Step 5: Solve for x
    x = 158,982.34/411.67
  6. Step 6: Final answer
    x = 386.19

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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.