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Finding the Fourth Proportional to 300.67, 414.93 and 169.72

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Solution

The fourth proportional to 300.67, 414.93 and 169.72 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.67 : 414.93 = 169.72 : x
  2. Step 2: Convert to fraction form
    300.67/414.93 = 169.72/x
  3. Step 3: Cross multiply
    300.67x = 414.93 × 169.72
  4. Step 4: Simplify right side
    300.67x = 70,421.92
  5. Step 5: Solve for x
    x = 70,421.92/300.67
  6. Step 6: Final answer
    x = 234.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.