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Finding the Fourth Proportional to 510.86, 766.20 and 145.64

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Solution

The fourth proportional to 510.86, 766.20 and 145.64 is: 218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 766.20 = 145.64 : x
  2. Step 2: Convert to fraction form
    510.86/766.20 = 145.64/x
  3. Step 3: Cross multiply
    510.86x = 766.20 × 145.64
  4. Step 4: Simplify right side
    510.86x = 111,589.37
  5. Step 5: Solve for x
    x = 111,589.37/510.86
  6. Step 6: Final answer
    x = 218.43

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