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Finding the Fourth Proportional to 209.71, 289.38 and 194.23

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Solution

The fourth proportional to 209.71, 289.38 and 194.23 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 289.38 = 194.23 : x
  2. Step 2: Convert to fraction form
    209.71/289.38 = 194.23/x
  3. Step 3: Cross multiply
    209.71x = 289.38 × 194.23
  4. Step 4: Simplify right side
    209.71x = 56,206.28
  5. Step 5: Solve for x
    x = 56,206.28/209.71
  6. Step 6: Final answer
    x = 268.02

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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.