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Finding the Fourth Proportional to 192.56, 266.78 and 188.90

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Solution

The fourth proportional to 192.56, 266.78 and 188.90 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 266.78 = 188.90 : x
  2. Step 2: Convert to fraction form
    192.56/266.78 = 188.90/x
  3. Step 3: Cross multiply
    192.56x = 266.78 × 188.90
  4. Step 4: Simplify right side
    192.56x = 50,394.74
  5. Step 5: Solve for x
    x = 50,394.74/192.56
  6. Step 6: Final answer
    x = 261.71

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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.