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Finding the Fourth Proportional to 233.76, 350.64 and 161.76

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Solution

The fourth proportional to 233.76, 350.64 and 161.76 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 350.64 = 161.76 : x
  2. Step 2: Convert to fraction form
    233.76/350.64 = 161.76/x
  3. Step 3: Cross multiply
    233.76x = 350.64 × 161.76
  4. Step 4: Simplify right side
    233.76x = 56,719.53
  5. Step 5: Solve for x
    x = 56,719.53/233.76
  6. Step 6: Final answer
    x = 242.64

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