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Finding the Fourth Proportional to 379.84, 569.12 and 264

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Solution

The fourth proportional to 379.84, 569.12 and 264 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 569.12 = 264 : x
  2. Step 2: Convert to fraction form
    379.84/569.12 = 264/x
  3. Step 3: Cross multiply
    379.84x = 569.12 × 264
  4. Step 4: Simplify right side
    379.84x = 150,247.68
  5. Step 5: Solve for x
    x = 150,247.68/379.84
  6. Step 6: Final answer
    x = 395.56

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