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Finding the Fourth Proportional to 162.44, 223.97 and 113.23

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Solution

The fourth proportional to 162.44, 223.97 and 113.23 is: 156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 223.97 = 113.23 : x
  2. Step 2: Convert to fraction form
    162.44/223.97 = 113.23/x
  3. Step 3: Cross multiply
    162.44x = 223.97 × 113.23
  4. Step 4: Simplify right side
    162.44x = 25,359.84
  5. Step 5: Solve for x
    x = 25,359.84/162.44
  6. Step 6: Final answer
    x = 156.12

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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.