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Finding the Fourth Proportional to 420, 579.60 and 264.88

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Solution

The fourth proportional to 420, 579.60 and 264.88 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 579.60 = 264.88 : x
  2. Step 2: Convert to fraction form
    420/579.60 = 264.88/x
  3. Step 3: Cross multiply
    420x = 579.60 × 264.88
  4. Step 4: Simplify right side
    420x = 153,524.45
  5. Step 5: Solve for x
    x = 153,524.45/420
  6. Step 6: Final answer
    x = 365.53

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