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Finding the Fourth Proportional to 190.62, 284.54 and 163.74

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Solution

The fourth proportional to 190.62, 284.54 and 163.74 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.62 : 284.54 = 163.74 : x
  2. Step 2: Convert to fraction form
    190.62/284.54 = 163.74/x
  3. Step 3: Cross multiply
    190.62x = 284.54 × 163.74
  4. Step 4: Simplify right side
    190.62x = 46,590.58
  5. Step 5: Solve for x
    x = 46,590.58/190.62
  6. Step 6: Final answer
    x = 244.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.