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Finding the Fourth Proportional to 383.74, 575.98 and 178.46

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Solution

The fourth proportional to 383.74, 575.98 and 178.46 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.74 : 575.98 = 178.46 : x
  2. Step 2: Convert to fraction form
    383.74/575.98 = 178.46/x
  3. Step 3: Cross multiply
    383.74x = 575.98 × 178.46
  4. Step 4: Simplify right side
    383.74x = 102,789.39
  5. Step 5: Solve for x
    x = 102,789.39/383.74
  6. Step 6: Final answer
    x = 267.86

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