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Finding the Fourth Proportional to 255.40, 382.95 and 174.34

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Solution

The fourth proportional to 255.40, 382.95 and 174.34 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.40 : 382.95 = 174.34 : x
  2. Step 2: Convert to fraction form
    255.40/382.95 = 174.34/x
  3. Step 3: Cross multiply
    255.40x = 382.95 × 174.34
  4. Step 4: Simplify right side
    255.40x = 66,761.59
  5. Step 5: Solve for x
    x = 66,761.59/255.40
  6. Step 6: Final answer
    x = 261.41

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