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Finding the Fourth Proportional to 309.80, 427.34 and 199.24

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Solution

The fourth proportional to 309.80, 427.34 and 199.24 is: 274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 427.34 = 199.24 : x
  2. Step 2: Convert to fraction form
    309.80/427.34 = 199.24/x
  3. Step 3: Cross multiply
    309.80x = 427.34 × 199.24
  4. Step 4: Simplify right side
    309.80x = 85,140.09
  5. Step 5: Solve for x
    x = 85,140.09/309.80
  6. Step 6: Final answer
    x = 274.82

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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.