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Finding the Fourth Proportional to 190.40, 286.72 and 166.31

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Solution

The fourth proportional to 190.40, 286.72 and 166.31 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 286.72 = 166.31 : x
  2. Step 2: Convert to fraction form
    190.40/286.72 = 166.31/x
  3. Step 3: Cross multiply
    190.40x = 286.72 × 166.31
  4. Step 4: Simplify right side
    190.40x = 47,683.57
  5. Step 5: Solve for x
    x = 47,683.57/190.40
  6. Step 6: Final answer
    x = 250.44

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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.