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Finding the Fourth Proportional to 176.28, 263.76 and 147.78

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Solution

The fourth proportional to 176.28, 263.76 and 147.78 is: 221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.28 : 263.76 = 147.78 : x
  2. Step 2: Convert to fraction form
    176.28/263.76 = 147.78/x
  3. Step 3: Cross multiply
    176.28x = 263.76 × 147.78
  4. Step 4: Simplify right side
    176.28x = 38,978.45
  5. Step 5: Solve for x
    x = 38,978.45/176.28
  6. Step 6: Final answer
    x = 221.12

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