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Finding the Fourth Proportional to 243.80, 363.36 and 243.43

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Solution

The fourth proportional to 243.80, 363.36 and 243.43 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.80 : 363.36 = 243.43 : x
  2. Step 2: Convert to fraction form
    243.80/363.36 = 243.43/x
  3. Step 3: Cross multiply
    243.80x = 363.36 × 243.43
  4. Step 4: Simplify right side
    243.80x = 88,451.82
  5. Step 5: Solve for x
    x = 88,451.82/243.80
  6. Step 6: Final answer
    x = 362.80

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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.