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Finding the Fourth Proportional to 254.09, 380.81 and 91.59

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Solution

The fourth proportional to 254.09, 380.81 and 91.59 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 380.81 = 91.59 : x
  2. Step 2: Convert to fraction form
    254.09/380.81 = 91.59/x
  3. Step 3: Cross multiply
    254.09x = 380.81 × 91.59
  4. Step 4: Simplify right side
    254.09x = 34,877.93
  5. Step 5: Solve for x
    x = 34,877.93/254.09
  6. Step 6: Final answer
    x = 137.27

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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.