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Finding the Fourth Proportional to 385.60, 578.19 and 264

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Solution

The fourth proportional to 385.60, 578.19 and 264 is: 395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.60 : 578.19 = 264 : x
  2. Step 2: Convert to fraction form
    385.60/578.19 = 264/x
  3. Step 3: Cross multiply
    385.60x = 578.19 × 264
  4. Step 4: Simplify right side
    385.60x = 152,642.16
  5. Step 5: Solve for x
    x = 152,642.16/385.60
  6. Step 6: Final answer
    x = 395.86

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