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Finding the Fourth Proportional to 199.85, 274.15 and 191.45

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Solution

The fourth proportional to 199.85, 274.15 and 191.45 is: 262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.85 : 274.15 = 191.45 : x
  2. Step 2: Convert to fraction form
    199.85/274.15 = 191.45/x
  3. Step 3: Cross multiply
    199.85x = 274.15 × 191.45
  4. Step 4: Simplify right side
    199.85x = 52,486.02
  5. Step 5: Solve for x
    x = 52,486.02/199.85
  6. Step 6: Final answer
    x = 262.63

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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.