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Finding the Fourth Proportional to 262.82, 394.01 and 125.83

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Solution

The fourth proportional to 262.82, 394.01 and 125.83 is: 188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.82 : 394.01 = 125.83 : x
  2. Step 2: Convert to fraction form
    262.82/394.01 = 125.83/x
  3. Step 3: Cross multiply
    262.82x = 394.01 × 125.83
  4. Step 4: Simplify right side
    262.82x = 49,576.66
  5. Step 5: Solve for x
    x = 49,576.66/262.82
  6. Step 6: Final answer
    x = 188.63

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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.