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Finding the Fourth Proportional to 190.19, 263.66 and 180.31

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Solution

The fourth proportional to 190.19, 263.66 and 180.31 is: 249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.19 : 263.66 = 180.31 : x
  2. Step 2: Convert to fraction form
    190.19/263.66 = 180.31/x
  3. Step 3: Cross multiply
    190.19x = 263.66 × 180.31
  4. Step 4: Simplify right side
    190.19x = 47,540.53
  5. Step 5: Solve for x
    x = 47,540.53/190.19
  6. Step 6: Final answer
    x = 249.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.