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Finding the Fourth Proportional to 452.85, 679.54 and 196.35

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Solution

The fourth proportional to 452.85, 679.54 and 196.35 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.85 : 679.54 = 196.35 : x
  2. Step 2: Convert to fraction form
    452.85/679.54 = 196.35/x
  3. Step 3: Cross multiply
    452.85x = 679.54 × 196.35
  4. Step 4: Simplify right side
    452.85x = 133,427.68
  5. Step 5: Solve for x
    x = 133,427.68/452.85
  6. Step 6: Final answer
    x = 294.64

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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.