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Finding the Fourth Proportional to 260.19, 390.29 and 97.85

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Solution

The fourth proportional to 260.19, 390.29 and 97.85 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.19 : 390.29 = 97.85 : x
  2. Step 2: Convert to fraction form
    260.19/390.29 = 97.85/x
  3. Step 3: Cross multiply
    260.19x = 390.29 × 97.85
  4. Step 4: Simplify right side
    260.19x = 38,187.44
  5. Step 5: Solve for x
    x = 38,187.44/260.19
  6. Step 6: Final answer
    x = 146.77

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