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Finding the Fourth Proportional to 160.47, 221.29 and 129.29

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Solution

The fourth proportional to 160.47, 221.29 and 129.29 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 221.29 = 129.29 : x
  2. Step 2: Convert to fraction form
    160.47/221.29 = 129.29/x
  3. Step 3: Cross multiply
    160.47x = 221.29 × 129.29
  4. Step 4: Simplify right side
    160.47x = 28,609.15
  5. Step 5: Solve for x
    x = 28,609.15/160.47
  6. Step 6: Final answer
    x = 178.28

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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.