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Finding the Fourth Proportional to 309.72, 427.50 and 178.78

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Solution

The fourth proportional to 309.72, 427.50 and 178.78 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 427.50 = 178.78 : x
  2. Step 2: Convert to fraction form
    309.72/427.50 = 178.78/x
  3. Step 3: Cross multiply
    309.72x = 427.50 × 178.78
  4. Step 4: Simplify right side
    309.72x = 76,428.45
  5. Step 5: Solve for x
    x = 76,428.45/309.72
  6. Step 6: Final answer
    x = 246.77

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