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Finding the Fourth Proportional to 309.15, 426.38 and 253.80

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Solution

The fourth proportional to 309.15, 426.38 and 253.80 is: 350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 426.38 = 253.80 : x
  2. Step 2: Convert to fraction form
    309.15/426.38 = 253.80/x
  3. Step 3: Cross multiply
    309.15x = 426.38 × 253.80
  4. Step 4: Simplify right side
    309.15x = 108,213.98
  5. Step 5: Solve for x
    x = 108,213.98/309.15
  6. Step 6: Final answer
    x = 350.04

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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.