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Finding the Fourth Proportional to 161.85, 221.56 and 156.61

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Solution

The fourth proportional to 161.85, 221.56 and 156.61 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.85 : 221.56 = 156.61 : x
  2. Step 2: Convert to fraction form
    161.85/221.56 = 156.61/x
  3. Step 3: Cross multiply
    161.85x = 221.56 × 156.61
  4. Step 4: Simplify right side
    161.85x = 34,698.21
  5. Step 5: Solve for x
    x = 34,698.21/161.85
  6. Step 6: Final answer
    x = 214.39

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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.