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Finding the Fourth Proportional to 190.49, 286.88 and 161.80

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Solution

The fourth proportional to 190.49, 286.88 and 161.80 is: 243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.49 : 286.88 = 161.80 : x
  2. Step 2: Convert to fraction form
    190.49/286.88 = 161.80/x
  3. Step 3: Cross multiply
    190.49x = 286.88 × 161.80
  4. Step 4: Simplify right side
    190.49x = 46,415.66
  5. Step 5: Solve for x
    x = 46,415.66/190.49
  6. Step 6: Final answer
    x = 243.67

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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.