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Finding the Fourth Proportional to 122.30, 184.47 and 107.25

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Solution

The fourth proportional to 122.30, 184.47 and 107.25 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.30 : 184.47 = 107.25 : x
  2. Step 2: Convert to fraction form
    122.30/184.47 = 107.25/x
  3. Step 3: Cross multiply
    122.30x = 184.47 × 107.25
  4. Step 4: Simplify right side
    122.30x = 19,784.41
  5. Step 5: Solve for x
    x = 19,784.41/122.30
  6. Step 6: Final answer
    x = 161.77

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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.