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Finding the Fourth Proportional to 342.78, 472.96 and 209.96

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Solution

The fourth proportional to 342.78, 472.96 and 209.96 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.78 : 472.96 = 209.96 : x
  2. Step 2: Convert to fraction form
    342.78/472.96 = 209.96/x
  3. Step 3: Cross multiply
    342.78x = 472.96 × 209.96
  4. Step 4: Simplify right side
    342.78x = 99,302.68
  5. Step 5: Solve for x
    x = 99,302.68/342.78
  6. Step 6: Final answer
    x = 289.70

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