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Finding the Fourth Proportional to 209.46, 312.37 and 186.15

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Solution

The fourth proportional to 209.46, 312.37 and 186.15 is: 277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 312.37 = 186.15 : x
  2. Step 2: Convert to fraction form
    209.46/312.37 = 186.15/x
  3. Step 3: Cross multiply
    209.46x = 312.37 × 186.15
  4. Step 4: Simplify right side
    209.46x = 58,147.68
  5. Step 5: Solve for x
    x = 58,147.68/209.46
  6. Step 6: Final answer
    x = 277.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.