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Finding the Fourth Proportional to 190.98, 262.71 and 149.67

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Solution

The fourth proportional to 190.98, 262.71 and 149.67 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.98 : 262.71 = 149.67 : x
  2. Step 2: Convert to fraction form
    190.98/262.71 = 149.67/x
  3. Step 3: Cross multiply
    190.98x = 262.71 × 149.67
  4. Step 4: Simplify right side
    190.98x = 39,319.81
  5. Step 5: Solve for x
    x = 39,319.81/190.98
  6. Step 6: Final answer
    x = 205.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.