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Finding the Fourth Proportional to 438.26, 657.64 and 255.74

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Solution

The fourth proportional to 438.26, 657.64 and 255.74 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.26 : 657.64 = 255.74 : x
  2. Step 2: Convert to fraction form
    438.26/657.64 = 255.74/x
  3. Step 3: Cross multiply
    438.26x = 657.64 × 255.74
  4. Step 4: Simplify right side
    438.26x = 168,184.85
  5. Step 5: Solve for x
    x = 168,184.85/438.26
  6. Step 6: Final answer
    x = 383.76

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