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Finding the Fourth Proportional to 122.58, 184.83 and 115.17

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Solution

The fourth proportional to 122.58, 184.83 and 115.17 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.58 : 184.83 = 115.17 : x
  2. Step 2: Convert to fraction form
    122.58/184.83 = 115.17/x
  3. Step 3: Cross multiply
    122.58x = 184.83 × 115.17
  4. Step 4: Simplify right side
    122.58x = 21,286.87
  5. Step 5: Solve for x
    x = 21,286.87/122.58
  6. Step 6: Final answer
    x = 173.66

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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.