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Finding the Fourth Proportional to 451.01, 676.26 and 142.81

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Solution

The fourth proportional to 451.01, 676.26 and 142.81 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.01 : 676.26 = 142.81 : x
  2. Step 2: Convert to fraction form
    451.01/676.26 = 142.81/x
  3. Step 3: Cross multiply
    451.01x = 676.26 × 142.81
  4. Step 4: Simplify right side
    451.01x = 96,573.31
  5. Step 5: Solve for x
    x = 96,573.31/451.01
  6. Step 6: Final answer
    x = 214.13

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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.