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Finding the Fourth Proportional to 219.85, 301.22 and 216.82

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Solution

The fourth proportional to 219.85, 301.22 and 216.82 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.85 : 301.22 = 216.82 : x
  2. Step 2: Convert to fraction form
    219.85/301.22 = 216.82/x
  3. Step 3: Cross multiply
    219.85x = 301.22 × 216.82
  4. Step 4: Simplify right side
    219.85x = 65,310.52
  5. Step 5: Solve for x
    x = 65,310.52/219.85
  6. Step 6: Final answer
    x = 297.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.