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Finding the Fourth Proportional to 395.65, 546 and 229.88

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Solution

The fourth proportional to 395.65, 546 and 229.88 is: 317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.65 : 546 = 229.88 : x
  2. Step 2: Convert to fraction form
    395.65/546 = 229.88/x
  3. Step 3: Cross multiply
    395.65x = 546 × 229.88
  4. Step 4: Simplify right side
    395.65x = 125,515.85
  5. Step 5: Solve for x
    x = 125,515.85/395.65
  6. Step 6: Final answer
    x = 317.24

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