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Finding the Fourth Proportional to 254.39, 381.65 and 71.82

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Solution

The fourth proportional to 254.39, 381.65 and 71.82 is: 107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.39 : 381.65 = 71.82 : x
  2. Step 2: Convert to fraction form
    254.39/381.65 = 71.82/x
  3. Step 3: Cross multiply
    254.39x = 381.65 × 71.82
  4. Step 4: Simplify right side
    254.39x = 27,409.74
  5. Step 5: Solve for x
    x = 27,409.74/254.39
  6. Step 6: Final answer
    x = 107.75

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