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Finding the Fourth Proportional to 359.54, 538.80 and 278

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Solution

The fourth proportional to 359.54, 538.80 and 278 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.54 : 538.80 = 278 : x
  2. Step 2: Convert to fraction form
    359.54/538.80 = 278/x
  3. Step 3: Cross multiply
    359.54x = 538.80 × 278
  4. Step 4: Simplify right side
    359.54x = 149,786.40
  5. Step 5: Solve for x
    x = 149,786.40/359.54
  6. Step 6: Final answer
    x = 416.61

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