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Finding the Fourth Proportional to 190.46, 285.14 and 122.06

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Solution

The fourth proportional to 190.46, 285.14 and 122.06 is: 182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.46 : 285.14 = 122.06 : x
  2. Step 2: Convert to fraction form
    190.46/285.14 = 122.06/x
  3. Step 3: Cross multiply
    190.46x = 285.14 × 122.06
  4. Step 4: Simplify right side
    190.46x = 34,804.19
  5. Step 5: Solve for x
    x = 34,804.19/190.46
  6. Step 6: Final answer
    x = 182.74

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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.