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Finding the Fourth Proportional to 257.14, 385.68 and 64.75

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Solution

The fourth proportional to 257.14, 385.68 and 64.75 is: 97.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.14 : 385.68 = 64.75 : x
  2. Step 2: Convert to fraction form
    257.14/385.68 = 64.75/x
  3. Step 3: Cross multiply
    257.14x = 385.68 × 64.75
  4. Step 4: Simplify right side
    257.14x = 24,972.78
  5. Step 5: Solve for x
    x = 24,972.78/257.14
  6. Step 6: Final answer
    x = 97.12

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