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Finding the Fourth Proportional to 314.91, 434.78 and 204.70

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Solution

The fourth proportional to 314.91, 434.78 and 204.70 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.91 : 434.78 = 204.70 : x
  2. Step 2: Convert to fraction form
    314.91/434.78 = 204.70/x
  3. Step 3: Cross multiply
    314.91x = 434.78 × 204.70
  4. Step 4: Simplify right side
    314.91x = 88,998.12
  5. Step 5: Solve for x
    x = 88,998.12/314.91
  6. Step 6: Final answer
    x = 282.61

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