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Finding the Fourth Proportional to 451.26, 676.64 and 143.06

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Solution

The fourth proportional to 451.26, 676.64 and 143.06 is: 214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 676.64 = 143.06 : x
  2. Step 2: Convert to fraction form
    451.26/676.64 = 143.06/x
  3. Step 3: Cross multiply
    451.26x = 676.64 × 143.06
  4. Step 4: Simplify right side
    451.26x = 96,796.02
  5. Step 5: Solve for x
    x = 96,796.02/451.26
  6. Step 6: Final answer
    x = 214.50

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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.