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Finding the Fourth Proportional to 122.07, 184.04 and 120.45

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Solution

The fourth proportional to 122.07, 184.04 and 120.45 is: 181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.07 : 184.04 = 120.45 : x
  2. Step 2: Convert to fraction form
    122.07/184.04 = 120.45/x
  3. Step 3: Cross multiply
    122.07x = 184.04 × 120.45
  4. Step 4: Simplify right side
    122.07x = 22,167.02
  5. Step 5: Solve for x
    x = 22,167.02/122.07
  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.