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Finding the Fourth Proportional to 190.26, 285.13 and 168.54

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Solution

The fourth proportional to 190.26, 285.13 and 168.54 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 285.13 = 168.54 : x
  2. Step 2: Convert to fraction form
    190.26/285.13 = 168.54/x
  3. Step 3: Cross multiply
    190.26x = 285.13 × 168.54
  4. Step 4: Simplify right side
    190.26x = 48,055.81
  5. Step 5: Solve for x
    x = 48,055.81/190.26
  6. Step 6: Final answer
    x = 252.58

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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.