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Finding the Fourth Proportional to 182.16, 251.28 and 119.04

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Solution

The fourth proportional to 182.16, 251.28 and 119.04 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 251.28 = 119.04 : x
  2. Step 2: Convert to fraction form
    182.16/251.28 = 119.04/x
  3. Step 3: Cross multiply
    182.16x = 251.28 × 119.04
  4. Step 4: Simplify right side
    182.16x = 29,912.37
  5. Step 5: Solve for x
    x = 29,912.37/182.16
  6. Step 6: Final answer
    x = 164.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.