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Finding the Fourth Proportional to 207.70, 309.82 and 194.94

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Solution

The fourth proportional to 207.70, 309.82 and 194.94 is: 290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 309.82 = 194.94 : x
  2. Step 2: Convert to fraction form
    207.70/309.82 = 194.94/x
  3. Step 3: Cross multiply
    207.70x = 309.82 × 194.94
  4. Step 4: Simplify right side
    207.70x = 60,396.31
  5. Step 5: Solve for x
    x = 60,396.31/207.70
  6. Step 6: Final answer
    x = 290.79

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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.