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Finding the Fourth Proportional to 122.50, 182.40 and 120.80

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Solution

The fourth proportional to 122.50, 182.40 and 120.80 is: 179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 182.40 = 120.80 : x
  2. Step 2: Convert to fraction form
    122.50/182.40 = 120.80/x
  3. Step 3: Cross multiply
    122.50x = 182.40 × 120.80
  4. Step 4: Simplify right side
    122.50x = 22,033.92
  5. Step 5: Solve for x
    x = 22,033.92/122.50
  6. Step 6: Final answer
    x = 179.87

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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.