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Finding the Fourth Proportional to 209.25, 314.09 and 118.05

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Solution

The fourth proportional to 209.25, 314.09 and 118.05 is: 177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 314.09 = 118.05 : x
  2. Step 2: Convert to fraction form
    209.25/314.09 = 118.05/x
  3. Step 3: Cross multiply
    209.25x = 314.09 × 118.05
  4. Step 4: Simplify right side
    209.25x = 37,077.73
  5. Step 5: Solve for x
    x = 37,077.73/209.25
  6. Step 6: Final answer
    x = 177.19

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