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Finding the Fourth Proportional to 243.92, 363.16 and 231.50

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Solution

The fourth proportional to 243.92, 363.16 and 231.50 is: 344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 363.16 = 231.50 : x
  2. Step 2: Convert to fraction form
    243.92/363.16 = 231.50/x
  3. Step 3: Cross multiply
    243.92x = 363.16 × 231.50
  4. Step 4: Simplify right side
    243.92x = 84,071.54
  5. Step 5: Solve for x
    x = 84,071.54/243.92
  6. Step 6: Final answer
    x = 344.67

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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.