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Finding the Fourth Proportional to 243.09, 363.92 and 160.67

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Solution

The fourth proportional to 243.09, 363.92 and 160.67 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 363.92 = 160.67 : x
  2. Step 2: Convert to fraction form
    243.09/363.92 = 160.67/x
  3. Step 3: Cross multiply
    243.09x = 363.92 × 160.67
  4. Step 4: Simplify right side
    243.09x = 58,470.22
  5. Step 5: Solve for x
    x = 58,470.22/243.09
  6. Step 6: Final answer
    x = 240.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.