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Finding the Fourth Proportional to 452.30, 678.27 and 163.67

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Solution

The fourth proportional to 452.30, 678.27 and 163.67 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 678.27 = 163.67 : x
  2. Step 2: Convert to fraction form
    452.30/678.27 = 163.67/x
  3. Step 3: Cross multiply
    452.30x = 678.27 × 163.67
  4. Step 4: Simplify right side
    452.30x = 111,012.45
  5. Step 5: Solve for x
    x = 111,012.45/452.30
  6. Step 6: Final answer
    x = 245.44

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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.