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Finding the Fourth Proportional to 254.39, 352.67 and 249.35

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Solution

The fourth proportional to 254.39, 352.67 and 249.35 is: 345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.39 : 352.67 = 249.35 : x
  2. Step 2: Convert to fraction form
    254.39/352.67 = 249.35/x
  3. Step 3: Cross multiply
    254.39x = 352.67 × 249.35
  4. Step 4: Simplify right side
    254.39x = 87,935.25
  5. Step 5: Solve for x
    x = 87,935.25/254.39
  6. Step 6: Final answer
    x = 345.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.