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Finding the Fourth Proportional to 137.09, 188.09 and 133.64

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Solution

The fourth proportional to 137.09, 188.09 and 133.64 is: 183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 188.09 = 133.64 : x
  2. Step 2: Convert to fraction form
    137.09/188.09 = 133.64/x
  3. Step 3: Cross multiply
    137.09x = 188.09 × 133.64
  4. Step 4: Simplify right side
    137.09x = 25,136.35
  5. Step 5: Solve for x
    x = 25,136.35/137.09
  6. Step 6: Final answer
    x = 183.36

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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.