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Finding the Fourth Proportional to 199.94, 274.16 and 195.62

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Solution

The fourth proportional to 199.94, 274.16 and 195.62 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 274.16 = 195.62 : x
  2. Step 2: Convert to fraction form
    199.94/274.16 = 195.62/x
  3. Step 3: Cross multiply
    199.94x = 274.16 × 195.62
  4. Step 4: Simplify right side
    199.94x = 53,631.18
  5. Step 5: Solve for x
    x = 53,631.18/199.94
  6. Step 6: Final answer
    x = 268.24

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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.