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Finding the Fourth Proportional to 513.15, 769.65 and 188.27

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Solution

The fourth proportional to 513.15, 769.65 and 188.27 is: 282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 769.65 = 188.27 : x
  2. Step 2: Convert to fraction form
    513.15/769.65 = 188.27/x
  3. Step 3: Cross multiply
    513.15x = 769.65 × 188.27
  4. Step 4: Simplify right side
    513.15x = 144,902.01
  5. Step 5: Solve for x
    x = 144,902.01/513.15
  6. Step 6: Final answer
    x = 282.38

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