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Finding the Fourth Proportional to 451.48, 676.98 and 207.76

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Solution

The fourth proportional to 451.48, 676.98 and 207.76 is: 311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.48 : 676.98 = 207.76 : x
  2. Step 2: Convert to fraction form
    451.48/676.98 = 207.76/x
  3. Step 3: Cross multiply
    451.48x = 676.98 × 207.76
  4. Step 4: Simplify right side
    451.48x = 140,649.36
  5. Step 5: Solve for x
    x = 140,649.36/451.48
  6. Step 6: Final answer
    x = 311.53

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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.