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Finding the Fourth Proportional to 190.96, 286.08 and 174.04

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Solution

The fourth proportional to 190.96, 286.08 and 174.04 is: 260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.96 : 286.08 = 174.04 : x
  2. Step 2: Convert to fraction form
    190.96/286.08 = 174.04/x
  3. Step 3: Cross multiply
    190.96x = 286.08 × 174.04
  4. Step 4: Simplify right side
    190.96x = 49,789.36
  5. Step 5: Solve for x
    x = 49,789.36/190.96
  6. Step 6: Final answer
    x = 260.73

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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.