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Finding the Fourth Proportional to 199.50, 274.15 and 190.45

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Solution

The fourth proportional to 199.50, 274.15 and 190.45 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 274.15 = 190.45 : x
  2. Step 2: Convert to fraction form
    199.50/274.15 = 190.45/x
  3. Step 3: Cross multiply
    199.50x = 274.15 × 190.45
  4. Step 4: Simplify right side
    199.50x = 52,212.45
  5. Step 5: Solve for x
    x = 52,212.45/199.50
  6. Step 6: Final answer
    x = 261.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.