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Finding the Fourth Proportional to 411.62, 617.24 and 257.31

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Solution

The fourth proportional to 411.62, 617.24 and 257.31 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 617.24 = 257.31 : x
  2. Step 2: Convert to fraction form
    411.62/617.24 = 257.31/x
  3. Step 3: Cross multiply
    411.62x = 617.24 × 257.31
  4. Step 4: Simplify right side
    411.62x = 158,820.74
  5. Step 5: Solve for x
    x = 158,820.74/411.62
  6. Step 6: Final answer
    x = 385.85

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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.