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Finding the Fourth Proportional to 201.42, 275.79 and 200.80

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Solution

The fourth proportional to 201.42, 275.79 and 200.80 is: 274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 275.79 = 200.80 : x
  2. Step 2: Convert to fraction form
    201.42/275.79 = 200.80/x
  3. Step 3: Cross multiply
    201.42x = 275.79 × 200.80
  4. Step 4: Simplify right side
    201.42x = 55,378.63
  5. Step 5: Solve for x
    x = 55,378.63/201.42
  6. Step 6: Final answer
    x = 274.94

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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.