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Finding the Fourth Proportional to 199.78, 277.10 and 192.49

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Solution

The fourth proportional to 199.78, 277.10 and 192.49 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.78 : 277.10 = 192.49 : x
  2. Step 2: Convert to fraction form
    199.78/277.10 = 192.49/x
  3. Step 3: Cross multiply
    199.78x = 277.10 × 192.49
  4. Step 4: Simplify right side
    199.78x = 53,338.98
  5. Step 5: Solve for x
    x = 53,338.98/199.78
  6. Step 6: Final answer
    x = 266.99

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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.