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Finding the Fourth Proportional to 451.38, 676.74 and 143.13

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Solution

The fourth proportional to 451.38, 676.74 and 143.13 is: 214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.38 : 676.74 = 143.13 : x
  2. Step 2: Convert to fraction form
    451.38/676.74 = 143.13/x
  3. Step 3: Cross multiply
    451.38x = 676.74 × 143.13
  4. Step 4: Simplify right side
    451.38x = 96,861.80
  5. Step 5: Solve for x
    x = 96,861.80/451.38
  6. Step 6: Final answer
    x = 214.59

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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.