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Finding the Fourth Proportional to 259.92, 390.08 and 97.64

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Solution

The fourth proportional to 259.92, 390.08 and 97.64 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 390.08 = 97.64 : x
  2. Step 2: Convert to fraction form
    259.92/390.08 = 97.64/x
  3. Step 3: Cross multiply
    259.92x = 390.08 × 97.64
  4. Step 4: Simplify right side
    259.92x = 38,087.41
  5. Step 5: Solve for x
    x = 38,087.41/259.92
  6. Step 6: Final answer
    x = 146.54

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