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Finding the Fourth Proportional to 209.68, 289.35 and 116.43

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Solution

The fourth proportional to 209.68, 289.35 and 116.43 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 289.35 = 116.43 : x
  2. Step 2: Convert to fraction form
    209.68/289.35 = 116.43/x
  3. Step 3: Cross multiply
    209.68x = 289.35 × 116.43
  4. Step 4: Simplify right side
    209.68x = 33,689.02
  5. Step 5: Solve for x
    x = 33,689.02/209.68
  6. Step 6: Final answer
    x = 160.67

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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.