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Finding the Fourth Proportional to 209.94, 313.23 and 187.92

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Solution

The fourth proportional to 209.94, 313.23 and 187.92 is: 280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 313.23 = 187.92 : x
  2. Step 2: Convert to fraction form
    209.94/313.23 = 187.92/x
  3. Step 3: Cross multiply
    209.94x = 313.23 × 187.92
  4. Step 4: Simplify right side
    209.94x = 58,860.62
  5. Step 5: Solve for x
    x = 58,860.62/209.94
  6. Step 6: Final answer
    x = 280.38

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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.