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Finding the Fourth Proportional to 137.91, 190.28 and 106.77

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Solution

The fourth proportional to 137.91, 190.28 and 106.77 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.91 : 190.28 = 106.77 : x
  2. Step 2: Convert to fraction form
    137.91/190.28 = 106.77/x
  3. Step 3: Cross multiply
    137.91x = 190.28 × 106.77
  4. Step 4: Simplify right side
    137.91x = 20,315.66
  5. Step 5: Solve for x
    x = 20,315.66/137.91
  6. Step 6: Final answer
    x = 147.31

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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.