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Finding the Fourth Proportional to 162.44, 225.22 and 154.22

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Solution

The fourth proportional to 162.44, 225.22 and 154.22 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 225.22 = 154.22 : x
  2. Step 2: Convert to fraction form
    162.44/225.22 = 154.22/x
  3. Step 3: Cross multiply
    162.44x = 225.22 × 154.22
  4. Step 4: Simplify right side
    162.44x = 34,733.43
  5. Step 5: Solve for x
    x = 34,733.43/162.44
  6. Step 6: Final answer
    x = 213.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.