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Finding the Fourth Proportional to 209.76, 289.26 and 160.80

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Solution

The fourth proportional to 209.76, 289.26 and 160.80 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 289.26 = 160.80 : x
  2. Step 2: Convert to fraction form
    209.76/289.26 = 160.80/x
  3. Step 3: Cross multiply
    209.76x = 289.26 × 160.80
  4. Step 4: Simplify right side
    209.76x = 46,513.01
  5. Step 5: Solve for x
    x = 46,513.01/209.76
  6. Step 6: Final answer
    x = 221.74

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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.