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Finding the Fourth Proportional to 256.98, 385.74 and 205.94

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Solution

The fourth proportional to 256.98, 385.74 and 205.94 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.98 : 385.74 = 205.94 : x
  2. Step 2: Convert to fraction form
    256.98/385.74 = 205.94/x
  3. Step 3: Cross multiply
    256.98x = 385.74 × 205.94
  4. Step 4: Simplify right side
    256.98x = 79,439.30
  5. Step 5: Solve for x
    x = 79,439.30/256.98
  6. Step 6: Final answer
    x = 309.13

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