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Finding the Fourth Proportional to 416.31, 624.47 and 172.84

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Solution

The fourth proportional to 416.31, 624.47 and 172.84 is: 259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 624.47 = 172.84 : x
  2. Step 2: Convert to fraction form
    416.31/624.47 = 172.84/x
  3. Step 3: Cross multiply
    416.31x = 624.47 × 172.84
  4. Step 4: Simplify right side
    416.31x = 107,933.39
  5. Step 5: Solve for x
    x = 107,933.39/416.31
  6. Step 6: Final answer
    x = 259.26

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