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Finding the Fourth Proportional to 363.94, 543.49 and 345.22

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Solution

The fourth proportional to 363.94, 543.49 and 345.22 is: 515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 543.49 = 345.22 : x
  2. Step 2: Convert to fraction form
    363.94/543.49 = 345.22/x
  3. Step 3: Cross multiply
    363.94x = 543.49 × 345.22
  4. Step 4: Simplify right side
    363.94x = 187,623.62
  5. Step 5: Solve for x
    x = 187,623.62/363.94
  6. Step 6: Final answer
    x = 515.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.