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Finding the Fourth Proportional to 309.73, 425.12 and 278.29

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Solution

The fourth proportional to 309.73, 425.12 and 278.29 is: 381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.73 : 425.12 = 278.29 : x
  2. Step 2: Convert to fraction form
    309.73/425.12 = 278.29/x
  3. Step 3: Cross multiply
    309.73x = 425.12 × 278.29
  4. Step 4: Simplify right side
    309.73x = 118,306.64
  5. Step 5: Solve for x
    x = 118,306.64/309.73
  6. Step 6: Final answer
    x = 381.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.