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Finding the Fourth Proportional to 122.27, 182.74 and 106.72

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Solution

The fourth proportional to 122.27, 182.74 and 106.72 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.27 : 182.74 = 106.72 : x
  2. Step 2: Convert to fraction form
    122.27/182.74 = 106.72/x
  3. Step 3: Cross multiply
    122.27x = 182.74 × 106.72
  4. Step 4: Simplify right side
    122.27x = 19,502.28
  5. Step 5: Solve for x
    x = 19,502.28/122.27
  6. Step 6: Final answer
    x = 159.51

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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.