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Finding the Fourth Proportional to 162.38, 221.09 and 161.87

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Solution

The fourth proportional to 162.38, 221.09 and 161.87 is: 220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 221.09 = 161.87 : x
  2. Step 2: Convert to fraction form
    162.38/221.09 = 161.87/x
  3. Step 3: Cross multiply
    162.38x = 221.09 × 161.87
  4. Step 4: Simplify right side
    162.38x = 35,785.92
  5. Step 5: Solve for x
    x = 35,785.92/162.38
  6. Step 6: Final answer
    x = 220.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.