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Finding the Fourth Proportional to 309.30, 425.96 and 269.94

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Solution

The fourth proportional to 309.30, 425.96 and 269.94 is: 371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 425.96 = 269.94 : x
  2. Step 2: Convert to fraction form
    309.30/425.96 = 269.94/x
  3. Step 3: Cross multiply
    309.30x = 425.96 × 269.94
  4. Step 4: Simplify right side
    309.30x = 114,983.64
  5. Step 5: Solve for x
    x = 114,983.64/309.30
  6. Step 6: Final answer
    x = 371.75

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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.