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Finding the Fourth Proportional to 137.72, 188.93 and 134.12

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Solution

The fourth proportional to 137.72, 188.93 and 134.12 is: 183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 188.93 = 134.12 : x
  2. Step 2: Convert to fraction form
    137.72/188.93 = 134.12/x
  3. Step 3: Cross multiply
    137.72x = 188.93 × 134.12
  4. Step 4: Simplify right side
    137.72x = 25,340.10
  5. Step 5: Solve for x
    x = 25,340.10/137.72
  6. Step 6: Final answer
    x = 183.99

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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.