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Finding the Fourth Proportional to 369.78, 509.90 and 238.74

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Solution

The fourth proportional to 369.78, 509.90 and 238.74 is: 329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 509.90 = 238.74 : x
  2. Step 2: Convert to fraction form
    369.78/509.90 = 238.74/x
  3. Step 3: Cross multiply
    369.78x = 509.90 × 238.74
  4. Step 4: Simplify right side
    369.78x = 121,732.33
  5. Step 5: Solve for x
    x = 121,732.33/369.78
  6. Step 6: Final answer
    x = 329.20

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