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Finding the Fourth Proportional to 204.12, 305.78 and 122.67

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Solution

The fourth proportional to 204.12, 305.78 and 122.67 is: 183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 305.78 = 122.67 : x
  2. Step 2: Convert to fraction form
    204.12/305.78 = 122.67/x
  3. Step 3: Cross multiply
    204.12x = 305.78 × 122.67
  4. Step 4: Simplify right side
    204.12x = 37,509.42
  5. Step 5: Solve for x
    x = 37,509.42/204.12
  6. Step 6: Final answer
    x = 183.76

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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.