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Finding the Fourth Proportional to 655.43, 981.81 and 308.27

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Solution

The fourth proportional to 655.43, 981.81 and 308.27 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.43 : 981.81 = 308.27 : x
  2. Step 2: Convert to fraction form
    655.43/981.81 = 308.27/x
  3. Step 3: Cross multiply
    655.43x = 981.81 × 308.27
  4. Step 4: Simplify right side
    655.43x = 302,665.02
  5. Step 5: Solve for x
    x = 302,665.02/655.43
  6. Step 6: Final answer
    x = 461.78

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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.