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Finding the Fourth Proportional to 243.82, 363.88 and 233.90

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Solution

The fourth proportional to 243.82, 363.88 and 233.90 is: 349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 363.88 = 233.90 : x
  2. Step 2: Convert to fraction form
    243.82/363.88 = 233.90/x
  3. Step 3: Cross multiply
    243.82x = 363.88 × 233.90
  4. Step 4: Simplify right side
    243.82x = 85,109.13
  5. Step 5: Solve for x
    x = 85,109.13/243.82
  6. Step 6: Final answer
    x = 349.07

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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.