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Finding the Fourth Proportional to 455.31, 682.25 and 238.83

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Solution

The fourth proportional to 455.31, 682.25 and 238.83 is: 357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.31 : 682.25 = 238.83 : x
  2. Step 2: Convert to fraction form
    455.31/682.25 = 238.83/x
  3. Step 3: Cross multiply
    455.31x = 682.25 × 238.83
  4. Step 4: Simplify right side
    455.31x = 162,940.57
  5. Step 5: Solve for x
    x = 162,940.57/455.31
  6. Step 6: Final answer
    x = 357.87

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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.