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Finding the Fourth Proportional to 122.24, 184.29 and 114.41

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Solution

The fourth proportional to 122.24, 184.29 and 114.41 is: 172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 184.29 = 114.41 : x
  2. Step 2: Convert to fraction form
    122.24/184.29 = 114.41/x
  3. Step 3: Cross multiply
    122.24x = 184.29 × 114.41
  4. Step 4: Simplify right side
    122.24x = 21,084.79
  5. Step 5: Solve for x
    x = 21,084.79/122.24
  6. Step 6: Final answer
    x = 172.48

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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.