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Finding the Fourth Proportional to 231.75, 346.19 and 190.98

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Solution

The fourth proportional to 231.75, 346.19 and 190.98 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 346.19 = 190.98 : x
  2. Step 2: Convert to fraction form
    231.75/346.19 = 190.98/x
  3. Step 3: Cross multiply
    231.75x = 346.19 × 190.98
  4. Step 4: Simplify right side
    231.75x = 66,114.41
  5. Step 5: Solve for x
    x = 66,114.41/231.75
  6. Step 6: Final answer
    x = 285.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.