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Finding the Fourth Proportional to 219.78, 326.90 and 219.04

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Solution

The fourth proportional to 219.78, 326.90 and 219.04 is: 325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.78 : 326.90 = 219.04 : x
  2. Step 2: Convert to fraction form
    219.78/326.90 = 219.04/x
  3. Step 3: Cross multiply
    219.78x = 326.90 × 219.04
  4. Step 4: Simplify right side
    219.78x = 71,603.91
  5. Step 5: Solve for x
    x = 71,603.91/219.78
  6. Step 6: Final answer
    x = 325.80

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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.