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Finding the Fourth Proportional to 192.84, 266.20 and 137.60

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Solution

The fourth proportional to 192.84, 266.20 and 137.60 is: 189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 266.20 = 137.60 : x
  2. Step 2: Convert to fraction form
    192.84/266.20 = 137.60/x
  3. Step 3: Cross multiply
    192.84x = 266.20 × 137.60
  4. Step 4: Simplify right side
    192.84x = 36,629.12
  5. Step 5: Solve for x
    x = 36,629.12/192.84
  6. Step 6: Final answer
    x = 189.95

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