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Finding the Fourth Proportional to 423.09, 634.48 and 227.98

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Solution

The fourth proportional to 423.09, 634.48 and 227.98 is: 341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.09 : 634.48 = 227.98 : x
  2. Step 2: Convert to fraction form
    423.09/634.48 = 227.98/x
  3. Step 3: Cross multiply
    423.09x = 634.48 × 227.98
  4. Step 4: Simplify right side
    423.09x = 144,648.75
  5. Step 5: Solve for x
    x = 144,648.75/423.09
  6. Step 6: Final answer
    x = 341.89

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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.