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Finding the Fourth Proportional to 254.22, 382.96 and 190.50

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Solution

The fourth proportional to 254.22, 382.96 and 190.50 is: 286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.22 : 382.96 = 190.50 : x
  2. Step 2: Convert to fraction form
    254.22/382.96 = 190.50/x
  3. Step 3: Cross multiply
    254.22x = 382.96 × 190.50
  4. Step 4: Simplify right side
    254.22x = 72,953.88
  5. Step 5: Solve for x
    x = 72,953.88/254.22
  6. Step 6: Final answer
    x = 286.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.