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Finding the Fourth Proportional to 423.26, 634.41 and 166.46

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Solution

The fourth proportional to 423.26, 634.41 and 166.46 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.26 : 634.41 = 166.46 : x
  2. Step 2: Convert to fraction form
    423.26/634.41 = 166.46/x
  3. Step 3: Cross multiply
    423.26x = 634.41 × 166.46
  4. Step 4: Simplify right side
    423.26x = 105,603.89
  5. Step 5: Solve for x
    x = 105,603.89/423.26
  6. Step 6: Final answer
    x = 249.50

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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.