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Finding the Fourth Proportional to 451.00, 676.49 and 207.50

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Solution

The fourth proportional to 451.00, 676.49 and 207.50 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.00 : 676.49 = 207.50 : x
  2. Step 2: Convert to fraction form
    451.00/676.49 = 207.50/x
  3. Step 3: Cross multiply
    451.00x = 676.49 × 207.50
  4. Step 4: Simplify right side
    451.00x = 140,367.26
  5. Step 5: Solve for x
    x = 140,367.26/451.00
  6. Step 6: Final answer
    x = 311.23

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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.