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Finding the Fourth Proportional to 481.68, 722.55 and 207.71

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Solution

The fourth proportional to 481.68, 722.55 and 207.71 is: 311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 722.55 = 207.71 : x
  2. Step 2: Convert to fraction form
    481.68/722.55 = 207.71/x
  3. Step 3: Cross multiply
    481.68x = 722.55 × 207.71
  4. Step 4: Simplify right side
    481.68x = 150,077.25
  5. Step 5: Solve for x
    x = 150,077.25/481.68
  6. Step 6: Final answer
    x = 311.57

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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.