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Finding the Fourth Proportional to 230.85, 344.30 and 208.98

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Solution

The fourth proportional to 230.85, 344.30 and 208.98 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 344.30 = 208.98 : x
  2. Step 2: Convert to fraction form
    230.85/344.30 = 208.98/x
  3. Step 3: Cross multiply
    230.85x = 344.30 × 208.98
  4. Step 4: Simplify right side
    230.85x = 71,951.94
  5. Step 5: Solve for x
    x = 71,951.94/230.85
  6. Step 6: Final answer
    x = 311.68

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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.