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Finding the Fourth Proportional to 451.65, 676.37 and 297.42

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Solution

The fourth proportional to 451.65, 676.37 and 297.42 is: 445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.65 : 676.37 = 297.42 : x
  2. Step 2: Convert to fraction form
    451.65/676.37 = 297.42/x
  3. Step 3: Cross multiply
    451.65x = 676.37 × 297.42
  4. Step 4: Simplify right side
    451.65x = 201,161.10
  5. Step 5: Solve for x
    x = 201,161.10/451.65
  6. Step 6: Final answer
    x = 445.40

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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.