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Finding the Fourth Proportional to 137.66, 206.28 and 105.50

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Solution

The fourth proportional to 137.66, 206.28 and 105.50 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 206.28 = 105.50 : x
  2. Step 2: Convert to fraction form
    137.66/206.28 = 105.50/x
  3. Step 3: Cross multiply
    137.66x = 206.28 × 105.50
  4. Step 4: Simplify right side
    137.66x = 21,762.54
  5. Step 5: Solve for x
    x = 21,762.54/137.66
  6. Step 6: Final answer
    x = 158.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.