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Finding the Fourth Proportional to 161.16, 221.64 and 129.68

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Solution

The fourth proportional to 161.16, 221.64 and 129.68 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 221.64 = 129.68 : x
  2. Step 2: Convert to fraction form
    161.16/221.64 = 129.68/x
  3. Step 3: Cross multiply
    161.16x = 221.64 × 129.68
  4. Step 4: Simplify right side
    161.16x = 28,742.28
  5. Step 5: Solve for x
    x = 28,742.28/161.16
  6. Step 6: Final answer
    x = 178.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.