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Finding the Fourth Proportional to 452.38, 678.44 and 163.76

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Solution

The fourth proportional to 452.38, 678.44 and 163.76 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.38 : 678.44 = 163.76 : x
  2. Step 2: Convert to fraction form
    452.38/678.44 = 163.76/x
  3. Step 3: Cross multiply
    452.38x = 678.44 × 163.76
  4. Step 4: Simplify right side
    452.38x = 111,101.33
  5. Step 5: Solve for x
    x = 111,101.33/452.38
  6. Step 6: Final answer
    x = 245.59

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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.