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Finding the Fourth Proportional to 451.07, 676.70 and 142.91

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Solution

The fourth proportional to 451.07, 676.70 and 142.91 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.07 : 676.70 = 142.91 : x
  2. Step 2: Convert to fraction form
    451.07/676.70 = 142.91/x
  3. Step 3: Cross multiply
    451.07x = 676.70 × 142.91
  4. Step 4: Simplify right side
    451.07x = 96,703.10
  5. Step 5: Solve for x
    x = 96,703.10/451.07
  6. Step 6: Final answer
    x = 214.39

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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.