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Finding the Fourth Proportional to 209.20, 289.08 and 160.42

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Solution

The fourth proportional to 209.20, 289.08 and 160.42 is: 221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.20 : 289.08 = 160.42 : x
  2. Step 2: Convert to fraction form
    209.20/289.08 = 160.42/x
  3. Step 3: Cross multiply
    209.20x = 289.08 × 160.42
  4. Step 4: Simplify right side
    209.20x = 46,373.49
  5. Step 5: Solve for x
    x = 46,373.49/209.20
  6. Step 6: Final answer
    x = 221.67

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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.