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Finding the Fourth Proportional to 162.13, 222.52 and 144.24

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Solution

The fourth proportional to 162.13, 222.52 and 144.24 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 222.52 = 144.24 : x
  2. Step 2: Convert to fraction form
    162.13/222.52 = 144.24/x
  3. Step 3: Cross multiply
    162.13x = 222.52 × 144.24
  4. Step 4: Simplify right side
    162.13x = 32,096.47
  5. Step 5: Solve for x
    x = 32,096.47/162.13
  6. Step 6: Final answer
    x = 197.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.