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Finding the Fourth Proportional to 511.32, 766.90 and 146.14

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Solution

The fourth proportional to 511.32, 766.90 and 146.14 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 766.90 = 146.14 : x
  2. Step 2: Convert to fraction form
    511.32/766.90 = 146.14/x
  3. Step 3: Cross multiply
    511.32x = 766.90 × 146.14
  4. Step 4: Simplify right side
    511.32x = 112,074.77
  5. Step 5: Solve for x
    x = 112,074.77/511.32
  6. Step 6: Final answer
    x = 219.19

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