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Finding the Fourth Proportional to 257.94, 353.52 and 254.34

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Solution

The fourth proportional to 257.94, 353.52 and 254.34 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 353.52 = 254.34 : x
  2. Step 2: Convert to fraction form
    257.94/353.52 = 254.34/x
  3. Step 3: Cross multiply
    257.94x = 353.52 × 254.34
  4. Step 4: Simplify right side
    257.94x = 89,914.28
  5. Step 5: Solve for x
    x = 89,914.28/257.94
  6. Step 6: Final answer
    x = 348.59

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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.