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Finding the Fourth Proportional to 190.84, 263.42 and 135.73

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Solution

The fourth proportional to 190.84, 263.42 and 135.73 is: 187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 263.42 = 135.73 : x
  2. Step 2: Convert to fraction form
    190.84/263.42 = 135.73/x
  3. Step 3: Cross multiply
    190.84x = 263.42 × 135.73
  4. Step 4: Simplify right side
    190.84x = 35,754.65
  5. Step 5: Solve for x
    x = 35,754.65/190.84
  6. Step 6: Final answer
    x = 187.36

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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.