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Finding the Fourth Proportional to 200.37, 275.75 and 185.49

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Solution

The fourth proportional to 200.37, 275.75 and 185.49 is: 255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.37 : 275.75 = 185.49 : x
  2. Step 2: Convert to fraction form
    200.37/275.75 = 185.49/x
  3. Step 3: Cross multiply
    200.37x = 275.75 × 185.49
  4. Step 4: Simplify right side
    200.37x = 51,147.94
  5. Step 5: Solve for x
    x = 51,147.94/200.37
  6. Step 6: Final answer
    x = 255.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.