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Finding the Fourth Proportional to 137.18, 189.22 and 104.36

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Solution

The fourth proportional to 137.18, 189.22 and 104.36 is: 143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 189.22 = 104.36 : x
  2. Step 2: Convert to fraction form
    137.18/189.22 = 104.36/x
  3. Step 3: Cross multiply
    137.18x = 189.22 × 104.36
  4. Step 4: Simplify right side
    137.18x = 19,747.00
  5. Step 5: Solve for x
    x = 19,747.00/137.18
  6. Step 6: Final answer
    x = 143.95

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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.