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Finding the Fourth Proportional to 122.98, 184.50 and 114.26

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Solution

The fourth proportional to 122.98, 184.50 and 114.26 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 184.50 = 114.26 : x
  2. Step 2: Convert to fraction form
    122.98/184.50 = 114.26/x
  3. Step 3: Cross multiply
    122.98x = 184.50 × 114.26
  4. Step 4: Simplify right side
    122.98x = 21,080.97
  5. Step 5: Solve for x
    x = 21,080.97/122.98
  6. Step 6: Final answer
    x = 171.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.