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Finding the Fourth Proportional to 190.50, 263.43 and 181.91

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Solution

The fourth proportional to 190.50, 263.43 and 181.91 is: 251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 263.43 = 181.91 : x
  2. Step 2: Convert to fraction form
    190.50/263.43 = 181.91/x
  3. Step 3: Cross multiply
    190.50x = 263.43 × 181.91
  4. Step 4: Simplify right side
    190.50x = 47,919.23
  5. Step 5: Solve for x
    x = 47,919.23/190.50
  6. Step 6: Final answer
    x = 251.54

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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.