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Finding the Fourth Proportional to 230, 317.54 and 180.76

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Solution

The fourth proportional to 230, 317.54 and 180.76 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230 : 317.54 = 180.76 : x
  2. Step 2: Convert to fraction form
    230/317.54 = 180.76/x
  3. Step 3: Cross multiply
    230x = 317.54 × 180.76
  4. Step 4: Simplify right side
    230x = 57,398.53
  5. Step 5: Solve for x
    x = 57,398.53/230
  6. Step 6: Final answer
    x = 249.56

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