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Finding the Fourth Proportional to 362.45, 543.71 and 131.28

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Solution

The fourth proportional to 362.45, 543.71 and 131.28 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.45 : 543.71 = 131.28 : x
  2. Step 2: Convert to fraction form
    362.45/543.71 = 131.28/x
  3. Step 3: Cross multiply
    362.45x = 543.71 × 131.28
  4. Step 4: Simplify right side
    362.45x = 71,380.36
  5. Step 5: Solve for x
    x = 71,380.36/362.45
  6. Step 6: Final answer
    x = 196.94

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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.