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Finding the Fourth Proportional to 254.69, 350.83 and 231.00

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Solution

The fourth proportional to 254.69, 350.83 and 231.00 is: 318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.69 : 350.83 = 231.00 : x
  2. Step 2: Convert to fraction form
    254.69/350.83 = 231.00/x
  3. Step 3: Cross multiply
    254.69x = 350.83 × 231.00
  4. Step 4: Simplify right side
    254.69x = 81,042.68
  5. Step 5: Solve for x
    x = 81,042.68/254.69
  6. Step 6: Final answer
    x = 318.20

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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.