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Finding the Fourth Proportional to 451.23, 676.76 and 126.51

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Solution

The fourth proportional to 451.23, 676.76 and 126.51 is: 189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.23 : 676.76 = 126.51 : x
  2. Step 2: Convert to fraction form
    451.23/676.76 = 126.51/x
  3. Step 3: Cross multiply
    451.23x = 676.76 × 126.51
  4. Step 4: Simplify right side
    451.23x = 85,616.28
  5. Step 5: Solve for x
    x = 85,616.28/451.23
  6. Step 6: Final answer
    x = 189.74

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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.