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Finding the Fourth Proportional to 306.78, 422.91 and 248.46

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Solution

The fourth proportional to 306.78, 422.91 and 248.46 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 422.91 = 248.46 : x
  2. Step 2: Convert to fraction form
    306.78/422.91 = 248.46/x
  3. Step 3: Cross multiply
    306.78x = 422.91 × 248.46
  4. Step 4: Simplify right side
    306.78x = 105,076.22
  5. Step 5: Solve for x
    x = 105,076.22/306.78
  6. Step 6: Final answer
    x = 342.51

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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.