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Finding the Fourth Proportional to 137.22, 188.25 and 133.42

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Solution

The fourth proportional to 137.22, 188.25 and 133.42 is: 183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.22 : 188.25 = 133.42 : x
  2. Step 2: Convert to fraction form
    137.22/188.25 = 133.42/x
  3. Step 3: Cross multiply
    137.22x = 188.25 × 133.42
  4. Step 4: Simplify right side
    137.22x = 25,116.60
  5. Step 5: Solve for x
    x = 25,116.60/137.22
  6. Step 6: Final answer
    x = 183.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.