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Finding the Fourth Proportional to 122.76, 182.16 and 120.60

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Solution

The fourth proportional to 122.76, 182.16 and 120.60 is: 178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 182.16 = 120.60 : x
  2. Step 2: Convert to fraction form
    122.76/182.16 = 120.60/x
  3. Step 3: Cross multiply
    122.76x = 182.16 × 120.60
  4. Step 4: Simplify right side
    122.76x = 21,968.50
  5. Step 5: Solve for x
    x = 21,968.50/122.76
  6. Step 6: Final answer
    x = 178.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.