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Finding the Fourth Proportional to 305.42, 458.15 and 168.53

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Solution

The fourth proportional to 305.42, 458.15 and 168.53 is: 252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.42 : 458.15 = 168.53 : x
  2. Step 2: Convert to fraction form
    305.42/458.15 = 168.53/x
  3. Step 3: Cross multiply
    305.42x = 458.15 × 168.53
  4. Step 4: Simplify right side
    305.42x = 77,208.89
  5. Step 5: Solve for x
    x = 77,208.89/305.42
  6. Step 6: Final answer
    x = 252.80

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