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Finding the Fourth Proportional to 200.75, 275.63 and 197.69

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Solution

The fourth proportional to 200.75, 275.63 and 197.69 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 275.63 = 197.69 : x
  2. Step 2: Convert to fraction form
    200.75/275.63 = 197.69/x
  3. Step 3: Cross multiply
    200.75x = 275.63 × 197.69
  4. Step 4: Simplify right side
    200.75x = 54,486.93
  5. Step 5: Solve for x
    x = 54,486.93/200.75
  6. Step 6: Final answer
    x = 271.42

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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.