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Finding the Fourth Proportional to 209.64, 289.20 and 160.56

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Solution

The fourth proportional to 209.64, 289.20 and 160.56 is: 221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 289.20 = 160.56 : x
  2. Step 2: Convert to fraction form
    209.64/289.20 = 160.56/x
  3. Step 3: Cross multiply
    209.64x = 289.20 × 160.56
  4. Step 4: Simplify right side
    209.64x = 46,433.95
  5. Step 5: Solve for x
    x = 46,433.95/209.64
  6. Step 6: Final answer
    x = 221.49

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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.