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Finding the Fourth Proportional to 215.21, 323.97 and 185.45

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Solution

The fourth proportional to 215.21, 323.97 and 185.45 is: 279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.21 : 323.97 = 185.45 : x
  2. Step 2: Convert to fraction form
    215.21/323.97 = 185.45/x
  3. Step 3: Cross multiply
    215.21x = 323.97 × 185.45
  4. Step 4: Simplify right side
    215.21x = 60,078.62
  5. Step 5: Solve for x
    x = 60,078.62/215.21
  6. Step 6: Final answer
    x = 279.17

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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.