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Finding the Fourth Proportional to 225.76, 338.66 and 165.64

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Solution

The fourth proportional to 225.76, 338.66 and 165.64 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 338.66 = 165.64 : x
  2. Step 2: Convert to fraction form
    225.76/338.66 = 165.64/x
  3. Step 3: Cross multiply
    225.76x = 338.66 × 165.64
  4. Step 4: Simplify right side
    225.76x = 56,095.64
  5. Step 5: Solve for x
    x = 56,095.64/225.76
  6. Step 6: Final answer
    x = 248.47

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