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Finding the Fourth Proportional to 384.16, 576.64 and 256.80

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Solution

The fourth proportional to 384.16, 576.64 and 256.80 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 576.64 = 256.80 : x
  2. Step 2: Convert to fraction form
    384.16/576.64 = 256.80/x
  3. Step 3: Cross multiply
    384.16x = 576.64 × 256.80
  4. Step 4: Simplify right side
    384.16x = 148,081.15
  5. Step 5: Solve for x
    x = 148,081.15/384.16
  6. Step 6: Final answer
    x = 385.47

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