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Finding the Fourth Proportional to 452.53, 678.80 and 163.97

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Solution

The fourth proportional to 452.53, 678.80 and 163.97 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.53 : 678.80 = 163.97 : x
  2. Step 2: Convert to fraction form
    452.53/678.80 = 163.97/x
  3. Step 3: Cross multiply
    452.53x = 678.80 × 163.97
  4. Step 4: Simplify right side
    452.53x = 111,302.40
  5. Step 5: Solve for x
    x = 111,302.40/452.53
  6. Step 6: Final answer
    x = 245.96

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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.