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Finding the Fourth Proportional to 209.43, 289.01 and 116.18

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Solution

The fourth proportional to 209.43, 289.01 and 116.18 is: 160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.43 : 289.01 = 116.18 : x
  2. Step 2: Convert to fraction form
    209.43/289.01 = 116.18/x
  3. Step 3: Cross multiply
    209.43x = 289.01 × 116.18
  4. Step 4: Simplify right side
    209.43x = 33,575.74
  5. Step 5: Solve for x
    x = 33,575.74/209.43
  6. Step 6: Final answer
    x = 160.32

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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.