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Finding the Fourth Proportional to 136.80, 204.08 and 120.80

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Solution

The fourth proportional to 136.80, 204.08 and 120.80 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 204.08 = 120.80 : x
  2. Step 2: Convert to fraction form
    136.80/204.08 = 120.80/x
  3. Step 3: Cross multiply
    136.80x = 204.08 × 120.80
  4. Step 4: Simplify right side
    136.80x = 24,652.86
  5. Step 5: Solve for x
    x = 24,652.86/136.80
  6. Step 6: Final answer
    x = 180.21

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