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Finding the Fourth Proportional to 243.52, 363.40 and 217.57

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Solution

The fourth proportional to 243.52, 363.40 and 217.57 is: 324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.52 : 363.40 = 217.57 : x
  2. Step 2: Convert to fraction form
    243.52/363.40 = 217.57/x
  3. Step 3: Cross multiply
    243.52x = 363.40 × 217.57
  4. Step 4: Simplify right side
    243.52x = 79,063.12
  5. Step 5: Solve for x
    x = 79,063.12/243.52
  6. Step 6: Final answer
    x = 324.67

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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.