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Finding the Fourth Proportional to 190.40, 286.74 and 169.04

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Solution

The fourth proportional to 190.40, 286.74 and 169.04 is: 254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 286.74 = 169.04 : x
  2. Step 2: Convert to fraction form
    190.40/286.74 = 169.04/x
  3. Step 3: Cross multiply
    190.40x = 286.74 × 169.04
  4. Step 4: Simplify right side
    190.40x = 48,469.63
  5. Step 5: Solve for x
    x = 48,469.63/190.40
  6. Step 6: Final answer
    x = 254.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.