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Finding the Fourth Proportional to 490, 735 and 148

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Solution

The fourth proportional to 490, 735 and 148 is: 222

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 735 = 148 : x
  2. Step 2: Convert to fraction form
    490/735 = 148/x
  3. Step 3: Cross multiply
    490x = 735 × 148
  4. Step 4: Simplify right side
    490x = 108,780
  5. Step 5: Solve for x
    x = 108,780/490
  6. Step 6: Final answer
    x = 222

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