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Finding the Fourth Proportional to 363.83, 543.53 and 232.78

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Solution

The fourth proportional to 363.83, 543.53 and 232.78 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.83 : 543.53 = 232.78 : x
  2. Step 2: Convert to fraction form
    363.83/543.53 = 232.78/x
  3. Step 3: Cross multiply
    363.83x = 543.53 × 232.78
  4. Step 4: Simplify right side
    363.83x = 126,522.33
  5. Step 5: Solve for x
    x = 126,522.33/363.83
  6. Step 6: Final answer
    x = 347.75

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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.