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Finding the Fourth Proportional to 136.28, 205.23 and 120.18

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Solution

The fourth proportional to 136.28, 205.23 and 120.18 is: 180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.28 : 205.23 = 120.18 : x
  2. Step 2: Convert to fraction form
    136.28/205.23 = 120.18/x
  3. Step 3: Cross multiply
    136.28x = 205.23 × 120.18
  4. Step 4: Simplify right side
    136.28x = 24,665.76
  5. Step 5: Solve for x
    x = 24,665.76/136.28
  6. Step 6: Final answer
    x = 180.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.