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Finding the Fourth Proportional to 136.45, 203.68 and 120.25

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Solution

The fourth proportional to 136.45, 203.68 and 120.25 is: 179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.45 : 203.68 = 120.25 : x
  2. Step 2: Convert to fraction form
    136.45/203.68 = 120.25/x
  3. Step 3: Cross multiply
    136.45x = 203.68 × 120.25
  4. Step 4: Simplify right side
    136.45x = 24,491.92
  5. Step 5: Solve for x
    x = 24,491.92/136.45
  6. Step 6: Final answer
    x = 179.49

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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.