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Finding the Fourth Proportional to 209.36, 289.11 and 176.21

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Solution

The fourth proportional to 209.36, 289.11 and 176.21 is: 243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 289.11 = 176.21 : x
  2. Step 2: Convert to fraction form
    209.36/289.11 = 176.21/x
  3. Step 3: Cross multiply
    209.36x = 289.11 × 176.21
  4. Step 4: Simplify right side
    209.36x = 50,944.07
  5. Step 5: Solve for x
    x = 50,944.07/209.36
  6. Step 6: Final answer
    x = 243.33

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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.