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Finding the Fourth Proportional to 206.74, 283.49 and 199.84

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Solution

The fourth proportional to 206.74, 283.49 and 199.84 is: 274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 283.49 = 199.84 : x
  2. Step 2: Convert to fraction form
    206.74/283.49 = 199.84/x
  3. Step 3: Cross multiply
    206.74x = 283.49 × 199.84
  4. Step 4: Simplify right side
    206.74x = 56,652.64
  5. Step 5: Solve for x
    x = 56,652.64/206.74
  6. Step 6: Final answer
    x = 274.03

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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.