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Finding the Fourth Proportional to 397.25, 595.81 and 180.78

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Solution

The fourth proportional to 397.25, 595.81 and 180.78 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 595.81 = 180.78 : x
  2. Step 2: Convert to fraction form
    397.25/595.81 = 180.78/x
  3. Step 3: Cross multiply
    397.25x = 595.81 × 180.78
  4. Step 4: Simplify right side
    397.25x = 107,710.76
  5. Step 5: Solve for x
    x = 107,710.76/397.25
  6. Step 6: Final answer
    x = 271.14

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