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Finding the Fourth Proportional to 301.43, 451.74 and 219.89

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Solution

The fourth proportional to 301.43, 451.74 and 219.89 is: 329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.43 : 451.74 = 219.89 : x
  2. Step 2: Convert to fraction form
    301.43/451.74 = 219.89/x
  3. Step 3: Cross multiply
    301.43x = 451.74 × 219.89
  4. Step 4: Simplify right side
    301.43x = 99,333.11
  5. Step 5: Solve for x
    x = 99,333.11/301.43
  6. Step 6: Final answer
    x = 329.54

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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.