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Finding the Fourth Proportional to 306.78, 421.58 and 254.94

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Solution

The fourth proportional to 306.78, 421.58 and 254.94 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 421.58 = 254.94 : x
  2. Step 2: Convert to fraction form
    306.78/421.58 = 254.94/x
  3. Step 3: Cross multiply
    306.78x = 421.58 × 254.94
  4. Step 4: Simplify right side
    306.78x = 107,476.33
  5. Step 5: Solve for x
    x = 107,476.33/306.78
  6. Step 6: Final answer
    x = 350.34

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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.