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Finding the Fourth Proportional to 136.44, 203.58 and 120.96

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Solution

The fourth proportional to 136.44, 203.58 and 120.96 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 203.58 = 120.96 : x
  2. Step 2: Convert to fraction form
    136.44/203.58 = 120.96/x
  3. Step 3: Cross multiply
    136.44x = 203.58 × 120.96
  4. Step 4: Simplify right side
    136.44x = 24,625.04
  5. Step 5: Solve for x
    x = 24,625.04/136.44
  6. Step 6: Final answer
    x = 180.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.