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Finding the Fourth Proportional to 257, 385.52 and 148.64

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Solution

The fourth proportional to 257, 385.52 and 148.64 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 385.52 = 148.64 : x
  2. Step 2: Convert to fraction form
    257/385.52 = 148.64/x
  3. Step 3: Cross multiply
    257x = 385.52 × 148.64
  4. Step 4: Simplify right side
    257x = 57,303.69
  5. Step 5: Solve for x
    x = 57,303.69/257
  6. Step 6: Final answer
    x = 222.97

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