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Finding the Fourth Proportional to 208.86, 312.94 and 71.83

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Solution

The fourth proportional to 208.86, 312.94 and 71.83 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 312.94 = 71.83 : x
  2. Step 2: Convert to fraction form
    208.86/312.94 = 71.83/x
  3. Step 3: Cross multiply
    208.86x = 312.94 × 71.83
  4. Step 4: Simplify right side
    208.86x = 22,478.48
  5. Step 5: Solve for x
    x = 22,478.48/208.86
  6. Step 6: Final answer
    x = 107.62

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