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Finding the Fourth Proportional to 243.82, 363.27 and 238.35

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Solution

The fourth proportional to 243.82, 363.27 and 238.35 is: 355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 363.27 = 238.35 : x
  2. Step 2: Convert to fraction form
    243.82/363.27 = 238.35/x
  3. Step 3: Cross multiply
    243.82x = 363.27 × 238.35
  4. Step 4: Simplify right side
    243.82x = 86,585.40
  5. Step 5: Solve for x
    x = 86,585.40/243.82
  6. Step 6: Final answer
    x = 355.12

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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.