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Finding the Fourth Proportional to 243.20, 363.20 and 241.28

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Solution

The fourth proportional to 243.20, 363.20 and 241.28 is: 360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 363.20 = 241.28 : x
  2. Step 2: Convert to fraction form
    243.20/363.20 = 241.28/x
  3. Step 3: Cross multiply
    243.20x = 363.20 × 241.28
  4. Step 4: Simplify right side
    243.20x = 87,632.90
  5. Step 5: Solve for x
    x = 87,632.90/243.20
  6. Step 6: Final answer
    x = 360.33

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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.