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Finding the Fourth Proportional to 122.14, 184.07 and 104.34

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Solution

The fourth proportional to 122.14, 184.07 and 104.34 is: 157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 184.07 = 104.34 : x
  2. Step 2: Convert to fraction form
    122.14/184.07 = 104.34/x
  3. Step 3: Cross multiply
    122.14x = 184.07 × 104.34
  4. Step 4: Simplify right side
    122.14x = 19,205.34
  5. Step 5: Solve for x
    x = 19,205.34/122.14
  6. Step 6: Final answer
    x = 157.24

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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.