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Finding the Fourth Proportional to 452.51, 678.46 and 163.91

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Solution

The fourth proportional to 452.51, 678.46 and 163.91 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.51 : 678.46 = 163.91 : x
  2. Step 2: Convert to fraction form
    452.51/678.46 = 163.91/x
  3. Step 3: Cross multiply
    452.51x = 678.46 × 163.91
  4. Step 4: Simplify right side
    452.51x = 111,206.38
  5. Step 5: Solve for x
    x = 111,206.38/452.51
  6. Step 6: Final answer
    x = 245.75

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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.