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Finding the Fourth Proportional to 423, 634.50 and 166.68

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Solution

The fourth proportional to 423, 634.50 and 166.68 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 634.50 = 166.68 : x
  2. Step 2: Convert to fraction form
    423/634.50 = 166.68/x
  3. Step 3: Cross multiply
    423x = 634.50 × 166.68
  4. Step 4: Simplify right side
    423x = 105,758.46
  5. Step 5: Solve for x
    x = 105,758.46/423
  6. Step 6: Final answer
    x = 250.02

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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.