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Finding the Fourth Proportional to 136.33, 204.24 and 67.69

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Solution

The fourth proportional to 136.33, 204.24 and 67.69 is: 101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.33 : 204.24 = 67.69 : x
  2. Step 2: Convert to fraction form
    136.33/204.24 = 67.69/x
  3. Step 3: Cross multiply
    136.33x = 204.24 × 67.69
  4. Step 4: Simplify right side
    136.33x = 13,825.01
  5. Step 5: Solve for x
    x = 13,825.01/136.33
  6. Step 6: Final answer
    x = 101.41

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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.