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Finding the Fourth Proportional to 136.20, 203.26 and 105.60

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Solution

The fourth proportional to 136.20, 203.26 and 105.60 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.20 : 203.26 = 105.60 : x
  2. Step 2: Convert to fraction form
    136.20/203.26 = 105.60/x
  3. Step 3: Cross multiply
    136.20x = 203.26 × 105.60
  4. Step 4: Simplify right side
    136.20x = 21,464.26
  5. Step 5: Solve for x
    x = 21,464.26/136.20
  6. Step 6: Final answer
    x = 157.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.