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Finding the Fourth Proportional to 452.69, 679.10 and 164.20

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Solution

The fourth proportional to 452.69, 679.10 and 164.20 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 679.10 = 164.20 : x
  2. Step 2: Convert to fraction form
    452.69/679.10 = 164.20/x
  3. Step 3: Cross multiply
    452.69x = 679.10 × 164.20
  4. Step 4: Simplify right side
    452.69x = 111,504.82
  5. Step 5: Solve for x
    x = 111,504.82/452.69
  6. Step 6: Final answer
    x = 246.32

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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.