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Finding the Fourth Proportional to 254.26, 350.88 and 137.82

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Solution

The fourth proportional to 254.26, 350.88 and 137.82 is: 190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 350.88 = 137.82 : x
  2. Step 2: Convert to fraction form
    254.26/350.88 = 137.82/x
  3. Step 3: Cross multiply
    254.26x = 350.88 × 137.82
  4. Step 4: Simplify right side
    254.26x = 48,357.59
  5. Step 5: Solve for x
    x = 48,357.59/254.26
  6. Step 6: Final answer
    x = 190.19

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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.