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Finding the Fourth Proportional to 137.70, 188.73 and 136.08

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Solution

The fourth proportional to 137.70, 188.73 and 136.08 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 188.73 = 136.08 : x
  2. Step 2: Convert to fraction form
    137.70/188.73 = 136.08/x
  3. Step 3: Cross multiply
    137.70x = 188.73 × 136.08
  4. Step 4: Simplify right side
    137.70x = 25,682.38
  5. Step 5: Solve for x
    x = 25,682.38/137.70
  6. Step 6: Final answer
    x = 186.51

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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.