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Finding the Fourth Proportional to 209.98, 289.50 and 160.78

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Solution

The fourth proportional to 209.98, 289.50 and 160.78 is: 221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 289.50 = 160.78 : x
  2. Step 2: Convert to fraction form
    209.98/289.50 = 160.78/x
  3. Step 3: Cross multiply
    209.98x = 289.50 × 160.78
  4. Step 4: Simplify right side
    209.98x = 46,545.81
  5. Step 5: Solve for x
    x = 46,545.81/209.98
  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.