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Finding the Fourth Proportional to 137.05, 187.87 and 134.67

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Solution

The fourth proportional to 137.05, 187.87 and 134.67 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.05 : 187.87 = 134.67 : x
  2. Step 2: Convert to fraction form
    137.05/187.87 = 134.67/x
  3. Step 3: Cross multiply
    137.05x = 187.87 × 134.67
  4. Step 4: Simplify right side
    137.05x = 25,300.12
  5. Step 5: Solve for x
    x = 25,300.12/137.05
  6. Step 6: Final answer
    x = 184.61

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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.