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Finding the Fourth Proportional to 246.97, 369.80 and 208.35

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Solution

The fourth proportional to 246.97, 369.80 and 208.35 is: 311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.97 : 369.80 = 208.35 : x
  2. Step 2: Convert to fraction form
    246.97/369.80 = 208.35/x
  3. Step 3: Cross multiply
    246.97x = 369.80 × 208.35
  4. Step 4: Simplify right side
    246.97x = 77,049.28
  5. Step 5: Solve for x
    x = 77,049.28/246.97
  6. Step 6: Final answer
    x = 311.98

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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.