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Finding the Fourth Proportional to 362.98, 543.39 and 218.26

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Solution

The fourth proportional to 362.98, 543.39 and 218.26 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.98 : 543.39 = 218.26 : x
  2. Step 2: Convert to fraction form
    362.98/543.39 = 218.26/x
  3. Step 3: Cross multiply
    362.98x = 543.39 × 218.26
  4. Step 4: Simplify right side
    362.98x = 118,600.30
  5. Step 5: Solve for x
    x = 118,600.30/362.98
  6. Step 6: Final answer
    x = 326.74

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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.