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Finding the Fourth Proportional to 133.98, 199.79 and 119.52

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Solution

The fourth proportional to 133.98, 199.79 and 119.52 is: 178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.98 : 199.79 = 119.52 : x
  2. Step 2: Convert to fraction form
    133.98/199.79 = 119.52/x
  3. Step 3: Cross multiply
    133.98x = 199.79 × 119.52
  4. Step 4: Simplify right side
    133.98x = 23,878.90
  5. Step 5: Solve for x
    x = 23,878.90/133.98
  6. Step 6: Final answer
    x = 178.23

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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.