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Finding the Fourth Proportional to 452.90, 678.92 and 164.26

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Solution

The fourth proportional to 452.90, 678.92 and 164.26 is: 246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 678.92 = 164.26 : x
  2. Step 2: Convert to fraction form
    452.90/678.92 = 164.26/x
  3. Step 3: Cross multiply
    452.90x = 678.92 × 164.26
  4. Step 4: Simplify right side
    452.90x = 111,519.40
  5. Step 5: Solve for x
    x = 111,519.40/452.90
  6. Step 6: Final answer
    x = 246.23

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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.