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Finding the Fourth Proportional to 254.61, 382.01 and 108.39

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Solution

The fourth proportional to 254.61, 382.01 and 108.39 is: 162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.61 : 382.01 = 108.39 : x
  2. Step 2: Convert to fraction form
    254.61/382.01 = 108.39/x
  3. Step 3: Cross multiply
    254.61x = 382.01 × 108.39
  4. Step 4: Simplify right side
    254.61x = 41,406.33
  5. Step 5: Solve for x
    x = 41,406.33/254.61
  6. Step 6: Final answer
    x = 162.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.