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Finding the Fourth Proportional to 607.90, 911.41 and 196.81

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Solution

The fourth proportional to 607.90, 911.41 and 196.81 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.90 : 911.41 = 196.81 : x
  2. Step 2: Convert to fraction form
    607.90/911.41 = 196.81/x
  3. Step 3: Cross multiply
    607.90x = 911.41 × 196.81
  4. Step 4: Simplify right side
    607.90x = 179,374.60
  5. Step 5: Solve for x
    x = 179,374.60/607.90
  6. Step 6: Final answer
    x = 295.07

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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.