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Finding the Fourth Proportional to 136.36, 203.69 and 112

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Solution

The fourth proportional to 136.36, 203.69 and 112 is: 167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.36 : 203.69 = 112 : x
  2. Step 2: Convert to fraction form
    136.36/203.69 = 112/x
  3. Step 3: Cross multiply
    136.36x = 203.69 × 112
  4. Step 4: Simplify right side
    136.36x = 22,813.28
  5. Step 5: Solve for x
    x = 22,813.28/136.36
  6. Step 6: Final answer
    x = 167.30

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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.