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Finding the Fourth Proportional to 608.22, 911.79 and 261.81

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Solution

The fourth proportional to 608.22, 911.79 and 261.81 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.22 : 911.79 = 261.81 : x
  2. Step 2: Convert to fraction form
    608.22/911.79 = 261.81/x
  3. Step 3: Cross multiply
    608.22x = 911.79 × 261.81
  4. Step 4: Simplify right side
    608.22x = 238,715.74
  5. Step 5: Solve for x
    x = 238,715.74/608.22
  6. Step 6: Final answer
    x = 392.48

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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.