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Finding the Fourth Proportional to 219.92, 301.93 and 211.41

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Solution

The fourth proportional to 219.92, 301.93 and 211.41 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 301.93 = 211.41 : x
  2. Step 2: Convert to fraction form
    219.92/301.93 = 211.41/x
  3. Step 3: Cross multiply
    219.92x = 301.93 × 211.41
  4. Step 4: Simplify right side
    219.92x = 63,830.49
  5. Step 5: Solve for x
    x = 63,830.49/219.92
  6. Step 6: Final answer
    x = 290.25

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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.