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Finding the Fourth Proportional to 190.22, 281.96 and 187.31

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Solution

The fourth proportional to 190.22, 281.96 and 187.31 is: 277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 281.96 = 187.31 : x
  2. Step 2: Convert to fraction form
    190.22/281.96 = 187.31/x
  3. Step 3: Cross multiply
    190.22x = 281.96 × 187.31
  4. Step 4: Simplify right side
    190.22x = 52,813.93
  5. Step 5: Solve for x
    x = 52,813.93/190.22
  6. Step 6: Final answer
    x = 277.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.