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Finding the Fourth Proportional to 137.22, 204.36 and 133.80

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Solution

The fourth proportional to 137.22, 204.36 and 133.80 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.22 : 204.36 = 133.80 : x
  2. Step 2: Convert to fraction form
    137.22/204.36 = 133.80/x
  3. Step 3: Cross multiply
    137.22x = 204.36 × 133.80
  4. Step 4: Simplify right side
    137.22x = 27,343.37
  5. Step 5: Solve for x
    x = 27,343.37/137.22
  6. Step 6: Final answer
    x = 199.27

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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.