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Finding the Fourth Proportional to 229.50, 341.82 and 217.94

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Solution

The fourth proportional to 229.50, 341.82 and 217.94 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 341.82 = 217.94 : x
  2. Step 2: Convert to fraction form
    229.50/341.82 = 217.94/x
  3. Step 3: Cross multiply
    229.50x = 341.82 × 217.94
  4. Step 4: Simplify right side
    229.50x = 74,494.54
  5. Step 5: Solve for x
    x = 74,494.54/229.50
  6. Step 6: Final answer
    x = 324.59

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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.