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Finding the Fourth Proportional to 405.12, 559.16 and 257.73

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Solution

The fourth proportional to 405.12, 559.16 and 257.73 is: 355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 559.16 = 257.73 : x
  2. Step 2: Convert to fraction form
    405.12/559.16 = 257.73/x
  3. Step 3: Cross multiply
    405.12x = 559.16 × 257.73
  4. Step 4: Simplify right side
    405.12x = 144,109.89
  5. Step 5: Solve for x
    x = 144,109.89/405.12
  6. Step 6: Final answer
    x = 355.72

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