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Finding the Fourth Proportional to 213.88, 320.82 and 117.64

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Solution

The fourth proportional to 213.88, 320.82 and 117.64 is: 176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 320.82 = 117.64 : x
  2. Step 2: Convert to fraction form
    213.88/320.82 = 117.64/x
  3. Step 3: Cross multiply
    213.88x = 320.82 × 117.64
  4. Step 4: Simplify right side
    213.88x = 37,741.26
  5. Step 5: Solve for x
    x = 37,741.26/213.88
  6. Step 6: Final answer
    x = 176.46

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