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Finding the Fourth Proportional to 309.25, 426.26 and 256.70

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Solution

The fourth proportional to 309.25, 426.26 and 256.70 is: 353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 426.26 = 256.70 : x
  2. Step 2: Convert to fraction form
    309.25/426.26 = 256.70/x
  3. Step 3: Cross multiply
    309.25x = 426.26 × 256.70
  4. Step 4: Simplify right side
    309.25x = 109,422.65
  5. Step 5: Solve for x
    x = 109,422.65/309.25
  6. Step 6: Final answer
    x = 353.83

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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.