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Finding the Fourth Proportional to 190.73, 285.81 and 170.12

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Solution

The fourth proportional to 190.73, 285.81 and 170.12 is: 254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.73 : 285.81 = 170.12 : x
  2. Step 2: Convert to fraction form
    190.73/285.81 = 170.12/x
  3. Step 3: Cross multiply
    190.73x = 285.81 × 170.12
  4. Step 4: Simplify right side
    190.73x = 48,622.00
  5. Step 5: Solve for x
    x = 48,622.00/190.73
  6. Step 6: Final answer
    x = 254.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.