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Finding the Fourth Proportional to 161.60, 221.55 and 158.68

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Solution

The fourth proportional to 161.60, 221.55 and 158.68 is: 217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.60 : 221.55 = 158.68 : x
  2. Step 2: Convert to fraction form
    161.60/221.55 = 158.68/x
  3. Step 3: Cross multiply
    161.60x = 221.55 × 158.68
  4. Step 4: Simplify right side
    161.60x = 35,155.55
  5. Step 5: Solve for x
    x = 35,155.55/161.60
  6. Step 6: Final answer
    x = 217.55

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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.