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Finding the Fourth Proportional to 200.31, 277.55 and 195.99

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Solution

The fourth proportional to 200.31, 277.55 and 195.99 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 277.55 = 195.99 : x
  2. Step 2: Convert to fraction form
    200.31/277.55 = 195.99/x
  3. Step 3: Cross multiply
    200.31x = 277.55 × 195.99
  4. Step 4: Simplify right side
    200.31x = 54,396.04
  5. Step 5: Solve for x
    x = 54,396.04/200.31
  6. Step 6: Final answer
    x = 271.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.