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Finding the Fourth Proportional to 122.94, 184.29 and 102.78

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Solution

The fourth proportional to 122.94, 184.29 and 102.78 is: 154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.94 : 184.29 = 102.78 : x
  2. Step 2: Convert to fraction form
    122.94/184.29 = 102.78/x
  3. Step 3: Cross multiply
    122.94x = 184.29 × 102.78
  4. Step 4: Simplify right side
    122.94x = 18,941.33
  5. Step 5: Solve for x
    x = 18,941.33/122.94
  6. Step 6: Final answer
    x = 154.07

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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.