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Finding the Fourth Proportional to 122.60, 182.96 and 108.15

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Solution

The fourth proportional to 122.60, 182.96 and 108.15 is: 161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.60 : 182.96 = 108.15 : x
  2. Step 2: Convert to fraction form
    122.60/182.96 = 108.15/x
  3. Step 3: Cross multiply
    122.60x = 182.96 × 108.15
  4. Step 4: Simplify right side
    122.60x = 19,787.12
  5. Step 5: Solve for x
    x = 19,787.12/122.60
  6. Step 6: Final answer
    x = 161.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.