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Finding the Fourth Proportional to 385.41, 578.10 and 96.85

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Solution

The fourth proportional to 385.41, 578.10 and 96.85 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.41 : 578.10 = 96.85 : x
  2. Step 2: Convert to fraction form
    385.41/578.10 = 96.85/x
  3. Step 3: Cross multiply
    385.41x = 578.10 × 96.85
  4. Step 4: Simplify right side
    385.41x = 55,988.99
  5. Step 5: Solve for x
    x = 55,988.99/385.41
  6. Step 6: Final answer
    x = 145.27

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