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Finding the Fourth Proportional to 122.46, 184.59 and 119.70

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Solution

The fourth proportional to 122.46, 184.59 and 119.70 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 184.59 = 119.70 : x
  2. Step 2: Convert to fraction form
    122.46/184.59 = 119.70/x
  3. Step 3: Cross multiply
    122.46x = 184.59 × 119.70
  4. Step 4: Simplify right side
    122.46x = 22,095.42
  5. Step 5: Solve for x
    x = 22,095.42/122.46
  6. Step 6: Final answer
    x = 180.43

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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.