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Finding the Fourth Proportional to 426.64, 640 and 256.72

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Solution

The fourth proportional to 426.64, 640 and 256.72 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.64 : 640 = 256.72 : x
  2. Step 2: Convert to fraction form
    426.64/640 = 256.72/x
  3. Step 3: Cross multiply
    426.64x = 640 × 256.72
  4. Step 4: Simplify right side
    426.64x = 164,300.80
  5. Step 5: Solve for x
    x = 164,300.80/426.64
  6. Step 6: Final answer
    x = 385.10

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