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Finding the Fourth Proportional to 306.20, 421.26 and 254.36

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Solution

The fourth proportional to 306.20, 421.26 and 254.36 is: 349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.20 : 421.26 = 254.36 : x
  2. Step 2: Convert to fraction form
    306.20/421.26 = 254.36/x
  3. Step 3: Cross multiply
    306.20x = 421.26 × 254.36
  4. Step 4: Simplify right side
    306.20x = 107,151.69
  5. Step 5: Solve for x
    x = 107,151.69/306.20
  6. Step 6: Final answer
    x = 349.94

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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.