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Finding the Fourth Proportional to 231.85, 346.30 and 199.44

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Solution

The fourth proportional to 231.85, 346.30 and 199.44 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.85 : 346.30 = 199.44 : x
  2. Step 2: Convert to fraction form
    231.85/346.30 = 199.44/x
  3. Step 3: Cross multiply
    231.85x = 346.30 × 199.44
  4. Step 4: Simplify right side
    231.85x = 69,066.07
  5. Step 5: Solve for x
    x = 69,066.07/231.85
  6. Step 6: Final answer
    x = 297.89

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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.