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Finding the Fourth Proportional to 309.85, 427.13 and 193.21

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Solution

The fourth proportional to 309.85, 427.13 and 193.21 is: 266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 427.13 = 193.21 : x
  2. Step 2: Convert to fraction form
    309.85/427.13 = 193.21/x
  3. Step 3: Cross multiply
    309.85x = 427.13 × 193.21
  4. Step 4: Simplify right side
    309.85x = 82,524.82
  5. Step 5: Solve for x
    x = 82,524.82/309.85
  6. Step 6: Final answer
    x = 266.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.