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Finding the Fourth Proportional to 431.37, 646.99 and 142.80

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Solution

The fourth proportional to 431.37, 646.99 and 142.80 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.37 : 646.99 = 142.80 : x
  2. Step 2: Convert to fraction form
    431.37/646.99 = 142.80/x
  3. Step 3: Cross multiply
    431.37x = 646.99 × 142.80
  4. Step 4: Simplify right side
    431.37x = 92,390.17
  5. Step 5: Solve for x
    x = 92,390.17/431.37
  6. Step 6: Final answer
    x = 214.18

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