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Finding the Fourth Proportional to 481.71, 722.49 and 207.80

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Solution

The fourth proportional to 481.71, 722.49 and 207.80 is: 311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.71 : 722.49 = 207.80 : x
  2. Step 2: Convert to fraction form
    481.71/722.49 = 207.80/x
  3. Step 3: Cross multiply
    481.71x = 722.49 × 207.80
  4. Step 4: Simplify right side
    481.71x = 150,129.81
  5. Step 5: Solve for x
    x = 150,129.81/481.71
  6. Step 6: Final answer
    x = 311.66

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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.