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Finding the Fourth Proportional to 161.29, 221.21 and 156.64

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Solution

The fourth proportional to 161.29, 221.21 and 156.64 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.29 : 221.21 = 156.64 : x
  2. Step 2: Convert to fraction form
    161.29/221.21 = 156.64/x
  3. Step 3: Cross multiply
    161.29x = 221.21 × 156.64
  4. Step 4: Simplify right side
    161.29x = 34,650.33
  5. Step 5: Solve for x
    x = 34,650.33/161.29
  6. Step 6: Final answer
    x = 214.83

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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.