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Finding the Fourth Proportional to 184.31, 254.39 and 122.15

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Solution

The fourth proportional to 184.31, 254.39 and 122.15 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.31 : 254.39 = 122.15 : x
  2. Step 2: Convert to fraction form
    184.31/254.39 = 122.15/x
  3. Step 3: Cross multiply
    184.31x = 254.39 × 122.15
  4. Step 4: Simplify right side
    184.31x = 31,071.86
  5. Step 5: Solve for x
    x = 31,071.86/184.31
  6. Step 6: Final answer
    x = 168.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.