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Finding the Fourth Proportional to 452.30, 678.24 and 163.70

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Solution

The fourth proportional to 452.30, 678.24 and 163.70 is: 245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 678.24 = 163.70 : x
  2. Step 2: Convert to fraction form
    452.30/678.24 = 163.70/x
  3. Step 3: Cross multiply
    452.30x = 678.24 × 163.70
  4. Step 4: Simplify right side
    452.30x = 111,027.89
  5. Step 5: Solve for x
    x = 111,027.89/452.30
  6. Step 6: Final answer
    x = 245.47

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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.