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Finding the Fourth Proportional to 362.08, 543.26 and 225.22

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Solution

The fourth proportional to 362.08, 543.26 and 225.22 is: 337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.08 : 543.26 = 225.22 : x
  2. Step 2: Convert to fraction form
    362.08/543.26 = 225.22/x
  3. Step 3: Cross multiply
    362.08x = 543.26 × 225.22
  4. Step 4: Simplify right side
    362.08x = 122,353.02
  5. Step 5: Solve for x
    x = 122,353.02/362.08
  6. Step 6: Final answer
    x = 337.92

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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.