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Finding the Fourth Proportional to 428.14, 642.05 and 154.16

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Solution

The fourth proportional to 428.14, 642.05 and 154.16 is: 231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 642.05 = 154.16 : x
  2. Step 2: Convert to fraction form
    428.14/642.05 = 154.16/x
  3. Step 3: Cross multiply
    428.14x = 642.05 × 154.16
  4. Step 4: Simplify right side
    428.14x = 98,977.66
  5. Step 5: Solve for x
    x = 98,977.66/428.14
  6. Step 6: Final answer
    x = 231.18

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