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Finding the Fourth Proportional to 451.47, 676.61 and 219.91

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Solution

The fourth proportional to 451.47, 676.61 and 219.91 is: 329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.47 : 676.61 = 219.91 : x
  2. Step 2: Convert to fraction form
    451.47/676.61 = 219.91/x
  3. Step 3: Cross multiply
    451.47x = 676.61 × 219.91
  4. Step 4: Simplify right side
    451.47x = 148,793.31
  5. Step 5: Solve for x
    x = 148,793.31/451.47
  6. Step 6: Final answer
    x = 329.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.