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Finding the Fourth Proportional to 160.24, 220.68 and 129.04

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Solution

The fourth proportional to 160.24, 220.68 and 129.04 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 220.68 = 129.04 : x
  2. Step 2: Convert to fraction form
    160.24/220.68 = 129.04/x
  3. Step 3: Cross multiply
    160.24x = 220.68 × 129.04
  4. Step 4: Simplify right side
    160.24x = 28,476.55
  5. Step 5: Solve for x
    x = 28,476.55/160.24
  6. Step 6: Final answer
    x = 177.71

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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.