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Finding the Fourth Proportional to 451.26, 676.62 and 245.70

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Solution

The fourth proportional to 451.26, 676.62 and 245.70 is: 368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.26 : 676.62 = 245.70 : x
  2. Step 2: Convert to fraction form
    451.26/676.62 = 245.70/x
  3. Step 3: Cross multiply
    451.26x = 676.62 × 245.70
  4. Step 4: Simplify right side
    451.26x = 166,245.53
  5. Step 5: Solve for x
    x = 166,245.53/451.26
  6. Step 6: Final answer
    x = 368.40

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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.