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Finding the Fourth Proportional to 608.41, 911.83 and 261.34

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Solution

The fourth proportional to 608.41, 911.83 and 261.34 is: 391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.41 : 911.83 = 261.34 : x
  2. Step 2: Convert to fraction form
    608.41/911.83 = 261.34/x
  3. Step 3: Cross multiply
    608.41x = 911.83 × 261.34
  4. Step 4: Simplify right side
    608.41x = 238,297.65
  5. Step 5: Solve for x
    x = 238,297.65/608.41
  6. Step 6: Final answer
    x = 391.67

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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.