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Finding the Fourth Proportional to 192.94, 266.14 and 137.75

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Solution

The fourth proportional to 192.94, 266.14 and 137.75 is: 190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.94 : 266.14 = 137.75 : x
  2. Step 2: Convert to fraction form
    192.94/266.14 = 137.75/x
  3. Step 3: Cross multiply
    192.94x = 266.14 × 137.75
  4. Step 4: Simplify right side
    192.94x = 36,660.35
  5. Step 5: Solve for x
    x = 36,660.35/192.94
  6. Step 6: Final answer
    x = 190.01

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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.