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Finding the Fourth Proportional to 122.47, 185.09 and 120.34

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Solution

The fourth proportional to 122.47, 185.09 and 120.34 is: 181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.47 : 185.09 = 120.34 : x
  2. Step 2: Convert to fraction form
    122.47/185.09 = 120.34/x
  3. Step 3: Cross multiply
    122.47x = 185.09 × 120.34
  4. Step 4: Simplify right side
    122.47x = 22,273.24
  5. Step 5: Solve for x
    x = 22,273.24/122.47
  6. Step 6: Final answer
    x = 181.87

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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.