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Finding the Fourth Proportional to 185.91, 278.87 and 64.16

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Solution

The fourth proportional to 185.91, 278.87 and 64.16 is: 96.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.91 : 278.87 = 64.16 : x
  2. Step 2: Convert to fraction form
    185.91/278.87 = 64.16/x
  3. Step 3: Cross multiply
    185.91x = 278.87 × 64.16
  4. Step 4: Simplify right side
    185.91x = 17,890.58
  5. Step 5: Solve for x
    x = 17,890.58/185.91
  6. Step 6: Final answer
    x = 96.23

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