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Finding the Fourth Proportional to 306.78, 459.21 and 162.06

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Solution

The fourth proportional to 306.78, 459.21 and 162.06 is: 242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 459.21 = 162.06 : x
  2. Step 2: Convert to fraction form
    306.78/459.21 = 162.06/x
  3. Step 3: Cross multiply
    306.78x = 459.21 × 162.06
  4. Step 4: Simplify right side
    306.78x = 74,419.57
  5. Step 5: Solve for x
    x = 74,419.57/306.78
  6. Step 6: Final answer
    x = 242.58

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