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Finding the Fourth Proportional to 209.49, 315.39 and 166.46

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Solution

The fourth proportional to 209.49, 315.39 and 166.46 is: 250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.49 : 315.39 = 166.46 : x
  2. Step 2: Convert to fraction form
    209.49/315.39 = 166.46/x
  3. Step 3: Cross multiply
    209.49x = 315.39 × 166.46
  4. Step 4: Simplify right side
    209.49x = 52,498.87
  5. Step 5: Solve for x
    x = 52,498.87/209.49
  6. Step 6: Final answer
    x = 250.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.