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Finding the Fourth Proportional to 456.82, 685.30 and 148.58

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Solution

The fourth proportional to 456.82, 685.30 and 148.58 is: 222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.82 : 685.30 = 148.58 : x
  2. Step 2: Convert to fraction form
    456.82/685.30 = 148.58/x
  3. Step 3: Cross multiply
    456.82x = 685.30 × 148.58
  4. Step 4: Simplify right side
    456.82x = 101,821.87
  5. Step 5: Solve for x
    x = 101,821.87/456.82
  6. Step 6: Final answer
    x = 222.89

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