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Finding the Fourth Proportional to 134.21, 199.97 and 119.83

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Solution

The fourth proportional to 134.21, 199.97 and 119.83 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.21 : 199.97 = 119.83 : x
  2. Step 2: Convert to fraction form
    134.21/199.97 = 119.83/x
  3. Step 3: Cross multiply
    134.21x = 199.97 × 119.83
  4. Step 4: Simplify right side
    134.21x = 23,962.41
  5. Step 5: Solve for x
    x = 23,962.41/134.21
  6. Step 6: Final answer
    x = 178.54

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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.