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Finding the Fourth Proportional to 182.22, 251.41 and 112.21

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Solution

The fourth proportional to 182.22, 251.41 and 112.21 is: 154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.22 : 251.41 = 112.21 : x
  2. Step 2: Convert to fraction form
    182.22/251.41 = 112.21/x
  3. Step 3: Cross multiply
    182.22x = 251.41 × 112.21
  4. Step 4: Simplify right side
    182.22x = 28,210.72
  5. Step 5: Solve for x
    x = 28,210.72/182.22
  6. Step 6: Final answer
    x = 154.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.