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Finding the Fourth Proportional to 655.20, 981.96 and 243.96

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Solution

The fourth proportional to 655.20, 981.96 and 243.96 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 981.96 = 243.96 : x
  2. Step 2: Convert to fraction form
    655.20/981.96 = 243.96/x
  3. Step 3: Cross multiply
    655.20x = 981.96 × 243.96
  4. Step 4: Simplify right side
    655.20x = 239,558.96
  5. Step 5: Solve for x
    x = 239,558.96/655.20
  6. Step 6: Final answer
    x = 365.63

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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.