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Finding the Fourth Proportional to 137.72, 190.04 and 104.91

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Solution

The fourth proportional to 137.72, 190.04 and 104.91 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 190.04 = 104.91 : x
  2. Step 2: Convert to fraction form
    137.72/190.04 = 104.91/x
  3. Step 3: Cross multiply
    137.72x = 190.04 × 104.91
  4. Step 4: Simplify right side
    137.72x = 19,936.77
  5. Step 5: Solve for x
    x = 19,936.77/137.72
  6. Step 6: Final answer
    x = 144.77

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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.