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Finding the Fourth Proportional to 309.07, 426.09 and 243.46

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Solution

The fourth proportional to 309.07, 426.09 and 243.46 is: 335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.07 : 426.09 = 243.46 : x
  2. Step 2: Convert to fraction form
    309.07/426.09 = 243.46/x
  3. Step 3: Cross multiply
    309.07x = 426.09 × 243.46
  4. Step 4: Simplify right side
    309.07x = 103,735.87
  5. Step 5: Solve for x
    x = 103,735.87/309.07
  6. Step 6: Final answer
    x = 335.64

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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.