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Finding the Fourth Proportional to 257.05, 385.64 and 74.44

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Solution

The fourth proportional to 257.05, 385.64 and 74.44 is: 111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.05 : 385.64 = 74.44 : x
  2. Step 2: Convert to fraction form
    257.05/385.64 = 74.44/x
  3. Step 3: Cross multiply
    257.05x = 385.64 × 74.44
  4. Step 4: Simplify right side
    257.05x = 28,707.04
  5. Step 5: Solve for x
    x = 28,707.04/257.05
  6. Step 6: Final answer
    x = 111.68

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