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Finding the Fourth Proportional to 190.62, 285.36 and 121.98

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Solution

The fourth proportional to 190.62, 285.36 and 121.98 is: 182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.62 : 285.36 = 121.98 : x
  2. Step 2: Convert to fraction form
    190.62/285.36 = 121.98/x
  3. Step 3: Cross multiply
    190.62x = 285.36 × 121.98
  4. Step 4: Simplify right side
    190.62x = 34,808.21
  5. Step 5: Solve for x
    x = 34,808.21/190.62
  6. Step 6: Final answer
    x = 182.61

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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.