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Finding the Fourth Proportional to 451.62, 676.78 and 266.40

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Solution

The fourth proportional to 451.62, 676.78 and 266.40 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 676.78 = 266.40 : x
  2. Step 2: Convert to fraction form
    451.62/676.78 = 266.40/x
  3. Step 3: Cross multiply
    451.62x = 676.78 × 266.40
  4. Step 4: Simplify right side
    451.62x = 180,293.53
  5. Step 5: Solve for x
    x = 180,293.53/451.62
  6. Step 6: Final answer
    x = 399.22

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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.