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Finding the Fourth Proportional to 122.28, 184.80 and 120.15

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Solution

The fourth proportional to 122.28, 184.80 and 120.15 is: 181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.28 : 184.80 = 120.15 : x
  2. Step 2: Convert to fraction form
    122.28/184.80 = 120.15/x
  3. Step 3: Cross multiply
    122.28x = 184.80 × 120.15
  4. Step 4: Simplify right side
    122.28x = 22,204.23
  5. Step 5: Solve for x
    x = 22,204.23/122.28
  6. Step 6: Final answer
    x = 181.59

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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.