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Finding the Fourth Proportional to 492.69, 679.79 and 306.19

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Solution

The fourth proportional to 492.69, 679.79 and 306.19 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.69 : 679.79 = 306.19 : x
  2. Step 2: Convert to fraction form
    492.69/679.79 = 306.19/x
  3. Step 3: Cross multiply
    492.69x = 679.79 × 306.19
  4. Step 4: Simplify right side
    492.69x = 208,144.90
  5. Step 5: Solve for x
    x = 208,144.90/492.69
  6. Step 6: Final answer
    x = 422.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.