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Finding the Fourth Proportional to 254.19, 350.78 and 137.75

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Solution

The fourth proportional to 254.19, 350.78 and 137.75 is: 190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.19 : 350.78 = 137.75 : x
  2. Step 2: Convert to fraction form
    254.19/350.78 = 137.75/x
  3. Step 3: Cross multiply
    254.19x = 350.78 × 137.75
  4. Step 4: Simplify right side
    254.19x = 48,319.95
  5. Step 5: Solve for x
    x = 48,319.95/254.19
  6. Step 6: Final answer
    x = 190.09

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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.