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Finding the Fourth Proportional to 257.58, 387.18 and 185.76

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Solution

The fourth proportional to 257.58, 387.18 and 185.76 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 387.18 = 185.76 : x
  2. Step 2: Convert to fraction form
    257.58/387.18 = 185.76/x
  3. Step 3: Cross multiply
    257.58x = 387.18 × 185.76
  4. Step 4: Simplify right side
    257.58x = 71,922.56
  5. Step 5: Solve for x
    x = 71,922.56/257.58
  6. Step 6: Final answer
    x = 279.22

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