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Finding the Fourth Proportional to 204, 305.44 and 135.36

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Solution

The fourth proportional to 204, 305.44 and 135.36 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 305.44 = 135.36 : x
  2. Step 2: Convert to fraction form
    204/305.44 = 135.36/x
  3. Step 3: Cross multiply
    204x = 305.44 × 135.36
  4. Step 4: Simplify right side
    204x = 41,344.36
  5. Step 5: Solve for x
    x = 41,344.36/204
  6. Step 6: Final answer
    x = 202.67

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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.