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Finding the Fourth Proportional to 200.34, 273.89 and 192.78

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Solution

The fourth proportional to 200.34, 273.89 and 192.78 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 273.89 = 192.78 : x
  2. Step 2: Convert to fraction form
    200.34/273.89 = 192.78/x
  3. Step 3: Cross multiply
    200.34x = 273.89 × 192.78
  4. Step 4: Simplify right side
    200.34x = 52,801.00
  5. Step 5: Solve for x
    x = 52,801.00/200.34
  6. Step 6: Final answer
    x = 263.56

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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.