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Finding the Fourth Proportional to 122.46, 182.84 and 106.26

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Solution

The fourth proportional to 122.46, 182.84 and 106.26 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 182.84 = 106.26 : x
  2. Step 2: Convert to fraction form
    122.46/182.84 = 106.26/x
  3. Step 3: Cross multiply
    122.46x = 182.84 × 106.26
  4. Step 4: Simplify right side
    122.46x = 19,428.58
  5. Step 5: Solve for x
    x = 19,428.58/122.46
  6. Step 6: Final answer
    x = 158.65

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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.