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Finding the Fourth Proportional to 380.88, 571.36 and 164.64

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Solution

The fourth proportional to 380.88, 571.36 and 164.64 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.88 : 571.36 = 164.64 : x
  2. Step 2: Convert to fraction form
    380.88/571.36 = 164.64/x
  3. Step 3: Cross multiply
    380.88x = 571.36 × 164.64
  4. Step 4: Simplify right side
    380.88x = 94,068.71
  5. Step 5: Solve for x
    x = 94,068.71/380.88
  6. Step 6: Final answer
    x = 246.98

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