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Finding the Fourth Proportional to 231.95, 346.23 and 204.62

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Solution

The fourth proportional to 231.95, 346.23 and 204.62 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.95 : 346.23 = 204.62 : x
  2. Step 2: Convert to fraction form
    231.95/346.23 = 204.62/x
  3. Step 3: Cross multiply
    231.95x = 346.23 × 204.62
  4. Step 4: Simplify right side
    231.95x = 70,843.85
  5. Step 5: Solve for x
    x = 70,843.85/231.95
  6. Step 6: Final answer
    x = 305.42

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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.