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Finding the Fourth Proportional to 137.09, 188.93 and 114.92

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Solution

The fourth proportional to 137.09, 188.93 and 114.92 is: 158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 188.93 = 114.92 : x
  2. Step 2: Convert to fraction form
    137.09/188.93 = 114.92/x
  3. Step 3: Cross multiply
    137.09x = 188.93 × 114.92
  4. Step 4: Simplify right side
    137.09x = 21,711.89
  5. Step 5: Solve for x
    x = 21,711.89/137.09
  6. Step 6: Final answer
    x = 158.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.